diff --git a/apps/web/package.json b/apps/web/package.json
index 43fbffe..0381a8c 100644
--- a/apps/web/package.json
+++ b/apps/web/package.json
@@ -57,7 +57,7 @@
     "jszip": "^3.10.1",
     "konva": "^10.3.0",
     "lucide-react": "^1.17.0",
-    "mermaid": "^11.15.0",
+    "mermaid": "^11.16.1",
     "nanoid": "^5.1.11",
     "next": "16.2.7",
     "next-auth": "5.0.0-beta.25",
diff --git a/pnpm-lock.yaml b/pnpm-lock.yaml
index 8543b85..b4a92a0 100644
--- a/pnpm-lock.yaml
+++ b/pnpm-lock.yaml
@@ -150,8 +150,8 @@ importers:
         specifier: ^1.17.0
         version: 1.17.0(react@19.2.7)
       mermaid:
-        specifier: ^11.15.0
-        version: 11.15.0
+        specifier: ^11.16.1
+        version: 11.16.1
       nanoid:
         specifier: ^5.1.11
         version: 5.1.11
@@ -202,7 +202,7 @@ importers:
         version: 0.1.8
       vis-network:
         specifier: ^10.1.1
-        version: 10.1.1(@egjs/hammerjs@2.0.17)(component-emitter@2.0.0)(keycharm@0.4.0)(uuid@11.1.0)(vis-data@8.0.5(uuid@11.1.0)(vis-util@6.0.2(@egjs/hammerjs@2.0.17)(component-emitter@2.0.0)))(vis-util@6.0.2(@egjs/hammerjs@2.0.17)(component-emitter@2.0.0))
+        version: 10.1.1(@egjs/hammerjs@2.0.17)(component-emitter@2.0.0)(keycharm@0.4.0)(uuid@14.0.1)(vis-data@8.0.5(uuid@14.0.1)(vis-util@6.0.2(@egjs/hammerjs@2.0.17)(component-emitter@2.0.0)))(vis-util@6.0.2(@egjs/hammerjs@2.0.17)(component-emitter@2.0.0))
       ws:
         specifier: ^8.21.0
         version: 8.21.0
@@ -483,36 +483,21 @@ packages:
   '@chevrotain/cst-dts-gen@11.0.3':
     resolution: {integrity: sha512-BvIKpRLeS/8UbfxXxgC33xOumsacaeCKAjAeLyOn7Pcp95HiRbrpl14S+9vaZLolnbssPIUuiUd8IvgkRyt6NQ==}
 
-  '@chevrotain/cst-dts-gen@12.0.0':
-    resolution: {integrity: sha512-fSL4KXjTl7cDgf0B5Rip9Q05BOrYvkJV/RrBTE/bKDN096E4hN/ySpcBK5B24T76dlQ2i32Zc3PAE27jFnFrKg==}
-
   '@chevrotain/gast@11.0.3':
     resolution: {integrity: sha512-+qNfcoNk70PyS/uxmj3li5NiECO+2YKZZQMbmjTqRI3Qchu8Hig/Q9vgkHpI3alNjr7M+a2St5pw5w5F6NL5/Q==}
 
-  '@chevrotain/gast@12.0.0':
-    resolution: {integrity: sha512-1ne/m3XsIT8aEdrvT33so0GUC+wkctpUPK6zU9IlOyJLUbR0rg4G7ZiApiJbggpgPir9ERy3FRjT6T7lpgetnQ==}
-
   '@chevrotain/regexp-to-ast@11.0.3':
     resolution: {integrity: sha512-1fMHaBZxLFvWI067AVbGJav1eRY7N8DDvYCTwGBiE/ytKBgP8azTdgyrKyWZ9Mfh09eHWb5PgTSO8wi7U824RA==}
 
-  '@chevrotain/regexp-to-ast@12.0.0':
-    resolution: {integrity: sha512-p+EW9MaJwgaHguhoqwOtx/FwuGr+DnNn857sXWOi/mClXIkPGl3rn7hGNWvo31HA3vyeQxjqe+H36yZJwYU8cA==}
-
   '@chevrotain/types@11.0.3':
     resolution: {integrity: sha512-gsiM3G8b58kZC2HaWR50gu6Y1440cHiJ+i3JUvcp/35JchYejb2+5MVeJK0iKThYpAa/P2PYFV4hoi44HD+aHQ==}
 
   '@chevrotain/types@11.1.2':
     resolution: {integrity: sha512-U+HFai5+zmJCkK86QsaJtoITlboZHBqrVketcO2ROv865xfCMSFpELQoz1GkX5GzME8pTa+3kbKrZHQtI0gdbw==}
 
-  '@chevrotain/types@12.0.0':
-    resolution: {integrity: sha512-S+04vjFQKeuYw0/eW3U52LkAHQsB1ASxsPGsLPUyQgrZ2iNNibQrsidruDzjEX2JYfespXMG0eZmXlhA6z7nWA==}
-
   '@chevrotain/utils@11.0.3':
     resolution: {integrity: sha512-YslZMgtJUyuMbZ+aKvfF3x1f5liK4mWNxghFRv7jqRR9C3R3fAOGTTKvxXDa2Y1s9zSbcpuO0cAxDYsc9SrXoQ==}
 
-  '@chevrotain/utils@12.0.0':
-    resolution: {integrity: sha512-lB59uJoaGIfOOL9knQqQRfhl9g7x8/wqFkp13zTdkRu1huG9kg6IJs1O8hqj9rs6h7orGxHJUKb+mX3rPbWGhA==}
-
   '@csstools/color-helpers@5.1.0':
     resolution: {integrity: sha512-S11EXWJyy0Mz5SYvRmY8nJYTFFd1LCNV+7cXyAgQtOOuzb4EsgfqDufL+9esx72/eLhsRdGZwaldu/h+E4t4BA==}
     engines: {node: '>=18'}
@@ -565,11 +550,11 @@ packages:
 
   '@esbuild-kit/core-utils@3.3.2':
     resolution: {integrity: sha512-sPRAnw9CdSsRmEtnsl2WXWdyquogVpB3yZ3dgwJfe8zrOzTsV7cJvmwrKVa+0ma5BoiGJ+BoqkMvawbayKUsqQ==}
-    deprecated: 'Merged into tsx: https://tsx.is'
+    deprecated: 'Merged into tsx: https://tsx.hirok.io'
 
   '@esbuild-kit/esm-loader@2.6.5':
     resolution: {integrity: sha512-FxEMIkJKnodyA1OaCUoEvbYRkoZlLZ4d/eXFu9Fh8CbBBgP5EmZxrfTRyN0qpXZ4vOvqnE5YdRdcrmUUXuU+dA==}
-    deprecated: 'Merged into tsx: https://tsx.is'
+    deprecated: 'Merged into tsx: https://tsx.hirok.io'
 
   '@esbuild/aix-ppc64@0.25.12':
     resolution: {integrity: sha512-Hhmwd6CInZ3dwpuGTF8fJG6yoWmsToE+vYgD4nytZVxcu1ulHpUQRAB1UJ8+N1Am3Mz4+xOByoQoSZf4D+CpkA==}
@@ -1144,8 +1129,8 @@ packages:
   '@iconify/types@2.0.0':
     resolution: {integrity: sha512-+wluvCrRhXrhyOmRDJ3q8mux9JkKy5SJ/v8ol2tu4FVjyYvtEzkc/3pK15ET6RKg4b4w4BmTk1+gsCUhf21Ykg==}
 
-  '@iconify/utils@3.1.0':
-    resolution: {integrity: sha512-Zlzem1ZXhI1iHeeERabLNzBHdOa4VhQbqAcOQaMKuTuyZCpwKbC2R4Dd0Zo3g9EAc+Y4fiarO8HIHRAth7+skw==}
+  '@iconify/utils@3.1.4':
+    resolution: {integrity: sha512-b1S7B1k9ohZ+iNTi2ATxbRYG9fTrJmUT0rc46bvVnNxqNRGW7dyo/vRREwyniI5IRN2RSJHDcm+s3BjWrSAjHw==}
 
   '@img/colour@1.1.0':
     resolution: {integrity: sha512-Td76q7j57o/tLVdgS746cYARfSyxk8iEfRxewL9h4OMzYhbW4TAcppl0mT4eyqXddh6L/jwoM75mo7ixa/pCeQ==}
@@ -1344,11 +1329,8 @@ packages:
   '@mermaid-js/parser@0.6.3':
     resolution: {integrity: sha512-lnjOhe7zyHjc+If7yT4zoedx2vo4sHaTmtkl1+or8BRTnCtDmcTpAjpzDSfCZrshM5bCoz0GyidzadJAH1xobA==}
 
-  '@mermaid-js/parser@1.1.0':
-    resolution: {integrity: sha512-gxK9ZX2+Fex5zu8LhRQoMeMPEHbc73UKZ0FQ54YrQtUxE1VVhMwzeNtKRPAu5aXks4FasbMe4xB4bWrmq6Jlxw==}
-
-  '@mermaid-js/parser@1.1.1':
-    resolution: {integrity: sha512-VuHdsYMK1bT6X2JbcAaWAhugTRvRBRyuZgd+c22swUeI9g/ntaxF7CY7dYarhZovofCbUNO0G7JesfmNtjYOCw==}
+  '@mermaid-js/parser@1.2.0':
+    resolution: {integrity: sha512-oYPyv8A4As1yH5Bx+04iQEQxXuIQDe0GKCNSRgao6z8AM9jixXIfP0vsppRLvGf+nKIOb9/LdpWA4YuJiVvESA==}
 
   '@modelcontextprotocol/sdk@1.29.0':
     resolution: {integrity: sha512-zo37mZA9hJWpULgkRpowewez1y6ML5GsXJPY8FI0tBBCd77HEvza4jDqRKOXgHNn867PVGCyTdzqpz0izu5ZjQ==}
@@ -2386,6 +2368,9 @@ packages:
   '@types/node@22.20.0':
     resolution: {integrity: sha512-QWlFW2wf3nTjC13/DqRnBpR4ZO36VJH/JVBkA/vcnmbTBNQIlnObqyqZE1tUR7+Ni23Lda8R1BxMfbXRpCUx5g==}
 
+  '@types/node@22.20.1':
+    resolution: {integrity: sha512-EANqOCF9QFyra+4pfxUcX9STKJpCLjMbObVzljIJomAWSnuSIEAvyzEU53GaajbXJEgdh0iEcPL+DGvpUd4k1Q==}
+
   '@types/pako@2.0.4':
     resolution: {integrity: sha512-VWDCbrLeVXJM9fihYodcLiIv0ku+AlOa/TQ1SvYOaBuyrSKgEcro95LJyIsJ4vSo6BXIxOKxiJAat04CmST9Fw==}
 
@@ -2817,17 +2802,17 @@ packages:
       bare-abort-controller:
         optional: true
 
-  bare-fs@4.7.4:
-    resolution: {integrity: sha512-y1kC+ffIx/tPLdTE693uNjHfzTfr+ravR5tvWlMXe25nELbkqV400S71qHDwbkAQ1FVEZobB1NFRzFbCCcyBCQ==}
-    engines: {bare: '>=1.16.0'}
+  bare-fs@4.8.0:
+    resolution: {integrity: sha512-fM+MhCvdQhZ7NV6S95a07gPSqjIYKn6mFaXfx266wN3ajZGl/+1AzH+ubkXQ0fFZvOe2nk9VHkzdYkQE5zMV3Q==}
+    engines: {bare: '>=1.28.0'}
     peerDependencies:
       bare-buffer: '*'
     peerDependenciesMeta:
       bare-buffer:
         optional: true
 
-  bare-path@3.1.0:
-    resolution: {integrity: sha512-322oSBHOhMhOm2CVwn7b3+gWQqwzSgIY4gNpKKb+Ha5jx2dEl9ClOgz/SK57DwuDql8YQg8JRpb9U0o8K3pW9g==}
+  bare-path@3.1.1:
+    resolution: {integrity: sha512-JprUlveX3QjApC1cTpsUOiscADftCGVWkzitbHsRqv84hzYwYHw2mbluddsq5TvI8mH/8Ov1f4BiMAdcB0oYnQ==}
 
   bare-stream@2.13.3:
     resolution: {integrity: sha512-Kc+brLqvEqGkjyfiwJmImAOqLZL7OsoLKuavx+hJjgVV3nLTOjloJyPMFxjUPerGGHrNH0fLU06jjykMLWrERQ==}
@@ -2843,8 +2828,8 @@ packages:
       bare-events:
         optional: true
 
-  bare-url@2.4.5:
-    resolution: {integrity: sha512-K+y9xF1tN+CdPu4qWwr0QiK1Al07eFPGYK5M2pDXcmHdMdgC/tT/bpmMe1hrmRHaidKLkXrC+cRNYf3XVDUhSQ==}
+  bare-url@2.5.2:
+    resolution: {integrity: sha512-L13PCJzKG8RGvx8V1/DdMi12ERhC3tprr7/8a94BxpmnRsFqxh5XZNdhtMxu5HPkRshYOOWRGY8lDP7ZhpG9Cg==}
 
   base64-arraybuffer@1.0.2:
     resolution: {integrity: sha512-I3yl4r9QB5ZRY3XuJVEPfc2XhZO6YweFPI+UovAzn+8/hb3oJ6lnysaFcjVpkCPfVWFUDvoZ8kmVDP7WyRtYtQ==}
@@ -2983,18 +2968,9 @@ packages:
     peerDependencies:
       chevrotain: ^11.0.0
 
-  chevrotain-allstar@0.4.1:
-    resolution: {integrity: sha512-PvVJm3oGqrveUVW2Vt/eZGeiAIsJszYweUcYwcskg9e+IubNYKKD+rHHem7A6XVO22eDAL+inxNIGAzZ/VIWlA==}
-    peerDependencies:
-      chevrotain: ^12.0.0
-
   chevrotain@11.0.3:
     resolution: {integrity: sha512-ci2iJH6LeIkvP9eJW6gpueU8cnZhv85ELY8w8WiFtNjMHA5ad6pQLaJo9mEly/9qUyCpvqX8/POVUTf18/HFdw==}
 
-  chevrotain@12.0.0:
-    resolution: {integrity: sha512-csJvb+6kEiQaqo1woTdSAuOWdN0WTLIydkKrBnS+V5gZz0oqBrp4kQ35519QgK6TpBThiG3V1vNSHlIkv4AglQ==}
-    engines: {node: '>=22.0.0'}
-
   chokidar@3.6.0:
     resolution: {integrity: sha512-7VT13fmjotKpGipCW9JEQAusEPE+Ei8nl6/g4FBAmIm0GOOLMua9NDDo/DWp0ZAxCr3cPq5ZpBqmPAQgDda2Pw==}
     engines: {node: '>= 8.10.0'}
@@ -3364,8 +3340,8 @@ packages:
     resolution: {integrity: sha512-BS8PfmtDGnrgYdOonGZQdLZslWIeCGFP9tpan0hi1Co2Zr2NKADsvGYA8XxuG/4UWgJ6Cjtv+YJnB6MM69QGlQ==}
     engines: {node: '>= 0.4'}
 
-  dayjs@1.11.20:
-    resolution: {integrity: sha512-YbwwqR/uYpeoP4pu043q+LTDLFBLApUP6VxRihdfNTqu4ubqMlGDLd6ErXhEgsyvY0K6nCs7nggYumAN+9uEuQ==}
+  dayjs@1.11.23:
+    resolution: {integrity: sha512-QDTCU0M0MxR3hQfnlDJfwekQiaanm1ubOD231u73WBckQ/fsamwRLiE2GBz6D3a/xF1NgfiDLJjXBa1hYOYTtQ==}
 
   debug@3.2.7:
     resolution: {integrity: sha512-CFjzYYAi4ThfiQvizrFQevTTXHtnCqWfe7x1AhgEscTz6ZbLbfoLRLPugTQyBth6f8ZERVUSyWHFD/7Wu4t1XQ==}
@@ -3463,6 +3439,9 @@ packages:
   dompurify@3.3.3:
     resolution: {integrity: sha512-Oj6pzI2+RqBfFG+qOaOLbFXLQ90ARpcGG6UePL82bJLtdsa6CYJD7nmiU8MW9nQNOtCHV3lZ/Bzq1X0QYbBZCA==}
 
+  dompurify@3.4.13:
+    resolution: {integrity: sha512-2vmYIoqjze2d+kakP8S/nS5shfsl587kzwEjcGlTdiksUVgFHnFCsLYDVj/JNqJVOQZGSYBTmuycv0PodwmnMQ==}
+
   dotenv@17.4.2:
     resolution: {integrity: sha512-nI4U3TottKAcAD9LLud4Cb7b2QztQMUEfHbvhTH09bqXTxnSie8WnjPALV/WMCrJZ6UV/qHJ6L03OqO3LcdYZw==}
     engines: {node: '>=12'}
@@ -3651,8 +3630,8 @@ packages:
     resolution: {integrity: sha512-w+5mJ3GuFL+NjVtJlvydShqE1eN3h3PbI7/5LAsYJP/2qtuMXjfL2LpHSRqo4b4eSF5K/DH1JXKUAHSB2UW50g==}
     engines: {node: '>= 0.4'}
 
-  es-toolkit@1.47.0:
-    resolution: {integrity: sha512-n1GuoD0WEQZMBk5tttoZSqwgyLx01oqa5XsBmCHwPyNe1S9jPBEmtR2pSgp2kJuWE3ciFZ6yRHmY4pM4C3OOkw==}
+  es-toolkit@1.51.0:
+    resolution: {integrity: sha512-zC2lQGkM7QX+Gm6iM3+WIdZJzthsEd14LvRNJneSO2hzyz/zNBENR8+YXWo1cKxgPBtV6ksPYHELbcwBRzmdCw==}
 
   es6-promise-pool@2.5.0:
     resolution: {integrity: sha512-VHErXfzR/6r/+yyzPKeBvO0lgjfC5cbDCQWjWwMZWSb6YU39TGIl51OUmCfWCq4ylMdJSB8zkz2vIuIeIxXApA==}
@@ -4237,8 +4216,8 @@ packages:
     resolution: {integrity: sha512-XXADHxXmvT9+CRxhXg56LJovE+bmWnEWB78LB83VZTprKTmaC5QfruXocxzTZ2Kl0DNwKuBdlIhjL8LeY8Sf8Q==}
     engines: {node: '>= 12'}
 
-  ip-address@10.2.0:
-    resolution: {integrity: sha512-/+S6j4E9AHvW9SWMSEY9Xfy66O5PWvVEJ08O0y5JGyEKQpojb0K0GKpz/v5HJ/G0vi3D2sjGK78119oXZeE0qA==}
+  ip-address@10.5.0:
+    resolution: {integrity: sha512-R5SnVLJmgYYvf2F2ZgwSBnelz5G4q5AxIC277GDfUaNbrZKNANcBC7RHqYYePlszf4kBolVkJauG0ZjHHFh55g==}
     engines: {node: '>= 12'}
 
   ipaddr.js@1.9.1:
@@ -4460,8 +4439,8 @@ packages:
     resolution: {integrity: sha512-qQKT4zQxXl8lLwBtHMWwaTcGfFOZviOJet3Oy/xmGk2gZH677CJM9EvtfdSkgWcATZhj/55JZ0rmy3myCT5lsA==}
     hasBin: true
 
-  js-yaml@4.3.0:
-    resolution: {integrity: sha512-1td788aAnnZ5qs7V2QIRl1owjtYpbKt749Y3xauqQgwIIGF/xXWz1wMTEBx5O3LK3lXLVuqXPdPxj2BoFHaW9Q==}
+  js-yaml@4.3.1:
+    resolution: {integrity: sha512-CY6crGq313MX8GkwvB7tzgp99vjQxY1++5y10/BKN/GUfHqWaOGQMNZkBvqSzsZKWk/ijwHlWzzkLulsGHhjWQ==}
     hasBin: true
 
   jsdom@26.1.0:
@@ -4526,6 +4505,10 @@ packages:
     resolution: {integrity: sha512-pQpZbdBu7wCTmQUh7ufPmLr0pFoObnGUoL/yhtwJDgmmQpbkg/0HSVti25Fu4rmd1oCR6NGWe9vqTWuWv3GcNA==}
     hasBin: true
 
+  katex@0.16.47:
+    resolution: {integrity: sha512-Eeo8Ys1doU1z+x8AZsPpQu+p/QcZBI5PeOo7QGQdy2x2m0MU/hYagBbGOmXwr5KVbEfVuWv9LpnQWeehogurjg==}
+    hasBin: true
+
   keycharm@0.4.0:
     resolution: {integrity: sha512-TyQTtsabOVv3MeOpR92sIKk/br9wxS+zGj4BG7CR8YbK4jM3tyIBaF0zhzeBUMx36/Q/iQLOKKOT+3jOQtemRQ==}
 
@@ -4542,10 +4525,6 @@ packages:
     resolution: {integrity: sha512-QJv/h939gDpvT+9SiLVlY7tZC3xB2qK57v0J04Sh9wpMb6MP1q8gB21L3WIo8T5P1MSMg3Ep14L7KkDCFG3y4w==}
     engines: {node: '>=16.0.0'}
 
-  langium@4.2.2:
-    resolution: {integrity: sha512-JUshTRAfHI4/MF9dH2WupvjSXyn8JBuUEWazB8ZVJUtXutT0doDlAv1XKbZ1Pb5sMexa8FF4CFBc0iiul7gbUQ==}
-    engines: {node: '>=20.10.0', npm: '>=10.2.3'}
-
   language-subtag-registry@0.3.23:
     resolution: {integrity: sha512-0K65Lea881pHotoGEa5gDlMxt3pctLi2RplBb7Ezh4rRdLEOtgi7n4EwK9lamnUCkKBqaeKRVebTq6BAxSkpXQ==}
 
@@ -4732,11 +4711,8 @@ packages:
     resolution: {integrity: sha512-8q7VEgMJW4J8tcfVPy8g09NcQwZdbwFEqhe/WZkoIzjn/3TGDwtOCYtXGxA3O8tPzpczCCDgv+P2P5y00ZJOOg==}
     engines: {node: '>= 8'}
 
-  mermaid@11.14.0:
-    resolution: {integrity: sha512-GSGloRsBs+JINmmhl0JDwjpuezCsHB4WGI4NASHxL3fHo3o/BRXTxhDLKnln8/Q0lRFRyDdEjmk1/d5Sn1Xz8g==}
-
-  mermaid@11.15.0:
-    resolution: {integrity: sha512-pTMbcf3rWdtLiYGpmoTjHEpeY8seiy6sR+9nD7LOs8KfUbHE4lOUAprTRqRAcWSQ6MQpdX+YEsxShtGsINtPtw==}
+  mermaid@11.16.1:
+    resolution: {integrity: sha512-TQsq6u22fAn3rek5VOubrhKPo1g5hwC3FXUN9hiyupTckcYiGuuKGkNQrKYwGJkXUxZdojwRG46gsSCFZMDp4g==}
 
   micromatch@4.0.8:
     resolution: {integrity: sha512-PXwfBhYu0hBCPw8Dn0E+WDYb7af3dSLVWKi3HGv84IdF4TyFoC0ysxFd0Goxw7nSv4T/PzEJQxsYsEiFCKo2BA==}
@@ -5005,8 +4981,8 @@ packages:
     resolution: {integrity: sha512-5NPgf87AT2STgwa2ntRMr45jTKrYBGkVU36yT0ig/n/GMAa3oPqhZfIQ2kMEimReg0+t9kZViDVZ83qfVUlckg==}
     engines: {node: '>= 14'}
 
-  package-manager-detector@1.6.0:
-    resolution: {integrity: sha512-61A5ThoTiDG/C8s8UMZwSorAGwMJ0ERVGj2OjoW5pAalsNOg15+iQiPzrLJ4jhZ1HJzmC2PIHT2oEiH3R5fzNA==}
+  package-manager-detector@1.8.0:
+    resolution: {integrity: sha512-yQA4H19AmPEoMUeavPMDIe1higySl/gH/yaQrkT/s07Qp+7pp2hYz30N3z2l5BkjVkF9Ow6o0wjJamm2y7Sn0A==}
 
   pako@0.2.9:
     resolution: {integrity: sha512-NUcwaKxUxWrZLpDG+z/xZaCgQITkA/Dv4V/T6bw7VON6l1Xz/VnrBqrYjZQ12TamKHzITTfOEIYUj48y2KXImA==}
@@ -5759,8 +5735,8 @@ packages:
       babel-plugin-macros:
         optional: true
 
-  stylis@4.3.6:
-    resolution: {integrity: sha512-yQ3rwFWRfwNUY7H5vpU0wfdkNSnvnJinhF9830Swlaxl03zsOjCfmX0ugac+3LtK0lYSgwL/KXc8oYL3mG4YFQ==}
+  stylis@4.4.0:
+    resolution: {integrity: sha512-5Z9ZpRzfuH6l/UAvCPAPUo3665Nk2wLaZU3x+TLHKVzIz33+sbJqbtrYoC3KD4/uVOr2Zp+L0LySezP9OHV9yA==}
 
   sucrase@3.35.1:
     resolution: {integrity: sha512-DhuTmvZWux4H1UOnWMB3sk0sbaCVOoQZjv8u1rDoTV0HTdGem9hkAZtl4JZy8P2z4Bg0nT+YMeOFyVr4zcG5Tw==}
@@ -5861,8 +5837,8 @@ packages:
   tinyexec@0.3.2:
     resolution: {integrity: sha512-KQQR9yN7R5+OSwaK0XQoj22pwHoTlgYqmUscPYoknOoWCWfj/5/ABTMRi69FrKU5ffPVh5QcFikpWJI/P1ocHA==}
 
-  tinyexec@1.1.1:
-    resolution: {integrity: sha512-VKS/ZaQhhkKFMANmAOhhXVoIfBXblQxGX1myCQ2faQrfmobMftXeJPcZGp0gS07ocvGJWDLZGyOZDadDBqYIJg==}
+  tinyexec@1.3.0:
+    resolution: {integrity: sha512-QKAl9m8gWWGHV8jZcPeym6j+XULi6tOf1mT83WYJ4Lk2ytW/uwAWkrP0uFsdoYMdueVJ0qs26wZ+23xeB4ibNQ==}
     engines: {node: '>=18'}
 
   tinyglobby@0.2.16:
@@ -5902,8 +5878,8 @@ packages:
     peerDependencies:
       typescript: '>=4.8.4'
 
-  ts-dedent@2.2.0:
-    resolution: {integrity: sha512-q5W7tVM71e2xjHZTlgfTDoPF/SmqKG5hddq9SzR49CH2hayqRKJtQ4mtRlSxKaJlR/+9rEM+mnBHf7I2/BQcpQ==}
+  ts-dedent@2.3.0:
+    resolution: {integrity: sha512-JfJeIHke7y2egdGGgRAvpCwYFUsHlM2gPcrVOxFkznt/4uzQ7HFmvE63iFHVLBJNDuyDOQgijDK/tXH/f6Msjg==}
     engines: {node: '>=6.10'}
 
   ts-interface-checker@0.1.13:
@@ -6074,8 +6050,8 @@ packages:
   utrie@1.0.2:
     resolution: {integrity: sha512-1MLa5ouZiOmQzUbjbu9VmjLzn1QLXBhwpUa7kdLUQK+KQ5KA9I1vk5U4YHe/X2Ch7PYnJfWuWT+VbuxbGwljhw==}
 
-  uuid@11.1.0:
-    resolution: {integrity: sha512-0/A9rDy9P7cJ+8w1c9WD9V//9Wj15Ce2MPz8Ri6032usz+NfePxx5AcN3bN+r6ZL6jEo066/yNYB3tn4pQEx+A==}
+  uuid@14.0.1:
+    resolution: {integrity: sha512-6ZxzVpzDXDa3bJWaHilVayA+BH/1zmxCJoVgvmqJnid/gPoKHxUrS/aC/T6LGQtNHT+XHG9fXPJB4d+IrU30Ew==}
     hasBin: true
 
   vary@1.1.2:
@@ -6125,9 +6101,6 @@ packages:
   vscode-uri@3.0.8:
     resolution: {integrity: sha512-AyFQ0EVmsOZOlAnxoFOGOq1SQDWAB7C6aqMGS23svWAllfOaxbuFvcT8D1i8z3Gyn8fraVeZNNmN6e9bxxXkKw==}
 
-  vscode-uri@3.1.0:
-    resolution: {integrity: sha512-/BpdSx+yCQGnCvecbyXdxHDkuk55/G3xwnC0GqY4gmQ3j+A+g8kzzgB4Nk/SINjqn6+waqw3EgbVF2QKExkRxQ==}
-
   w3c-xmlserializer@5.0.0:
     resolution: {integrity: sha512-o8qghlI8NZHU1lLPrpi2+Uq7abh4GGPpYANlalzWxyWteJOCsr/P+oPBA49TOLu5FTZO4d3F9MnWJfiMo4BkmA==}
     engines: {node: '>=18'}
@@ -6196,6 +6169,18 @@ packages:
       utf-8-validate:
         optional: true
 
+  ws@8.21.3:
+    resolution: {integrity: sha512-201TZ/kPWxoPr/OKWjquZR1SWKXcvxdH+e1xrx89b3YbmzLMFCLfnaG1HFIgWzJOEWZ7MvpK++odZufgYR50Rw==}
+    engines: {node: '>=10.0.0'}
+    peerDependencies:
+      bufferutil: ^4.0.1
+      utf-8-validate: '>=5.0.2'
+    peerDependenciesMeta:
+      bufferutil:
+        optional: true
+      utf-8-validate:
+        optional: true
+
   xdg-app-paths@5.5.1:
     resolution: {integrity: sha512-hI3flOB4PLZIy5prbtTpirobtPE2ZtZ52szO+2mM9Efp6ErM398La+C1lIpNWDfNoQk+6Lsi6nMcCwVB7pxeMQ==}
     engines: {node: '>= 6.0'}
@@ -6359,8 +6344,8 @@ snapshots:
 
   '@antfu/install-pkg@1.1.0':
     dependencies:
-      package-manager-detector: 1.6.0
-      tinyexec: 1.1.1
+      package-manager-detector: 1.8.0
+      tinyexec: 1.3.0
 
   '@asamuzakjp/css-color@3.2.0':
     dependencies:
@@ -6501,34 +6486,19 @@ snapshots:
       '@chevrotain/types': 11.0.3
       lodash-es: 4.17.21
 
-  '@chevrotain/cst-dts-gen@12.0.0':
-    dependencies:
-      '@chevrotain/gast': 12.0.0
-      '@chevrotain/types': 12.0.0
-
   '@chevrotain/gast@11.0.3':
     dependencies:
       '@chevrotain/types': 11.0.3
       lodash-es: 4.17.21
 
-  '@chevrotain/gast@12.0.0':
-    dependencies:
-      '@chevrotain/types': 12.0.0
-
   '@chevrotain/regexp-to-ast@11.0.3': {}
 
-  '@chevrotain/regexp-to-ast@12.0.0': {}
-
   '@chevrotain/types@11.0.3': {}
 
   '@chevrotain/types@11.1.2': {}
 
-  '@chevrotain/types@12.0.0': {}
-
   '@chevrotain/utils@11.0.3': {}
 
-  '@chevrotain/utils@12.0.0': {}
-
   '@csstools/color-helpers@5.1.0':
     optional: true
 
@@ -6908,7 +6878,7 @@ snapshots:
     dependencies:
       '@excalidraw/markdown-to-text': 0.1.2
       '@mermaid-js/parser': 0.6.3
-      mermaid: 11.14.0
+      mermaid: 11.16.1
       nanoid: 4.0.2
 
   '@excalidraw/random-username@1.1.0': {}
@@ -6987,11 +6957,11 @@ snapshots:
 
   '@iconify/types@2.0.0': {}
 
-  '@iconify/utils@3.1.0':
+  '@iconify/utils@3.1.4':
     dependencies:
       '@antfu/install-pkg': 1.1.0
       '@iconify/types': 2.0.0
-      mlly: 1.8.2
+      import-meta-resolve: 4.2.0
 
   '@img/colour@1.1.0': {}
 
@@ -7110,32 +7080,32 @@ snapshots:
 
   '@levischuck/tiny-cbor@0.2.11': {}
 
-  '@mermaid-js/layout-elk@0.2.1(mermaid@11.14.0)':
+  '@mermaid-js/layout-elk@0.2.1(mermaid@11.16.1)':
     dependencies:
       d3: 7.9.0
       elkjs: 0.9.3
-      mermaid: 11.14.0
+      mermaid: 11.16.1
 
-  '@mermaid-js/layout-tidy-tree@0.2.2(mermaid@11.14.0)':
+  '@mermaid-js/layout-tidy-tree@0.2.2(mermaid@11.16.1)':
     dependencies:
       d3: 7.9.0
-      mermaid: 11.14.0
+      mermaid: 11.16.1
     optional: true
 
   '@mermaid-js/mermaid-cli@11.15.0(@babel/core@7.29.7)(@babel/template@7.29.7)(@types/react@19.2.16)(puppeteer@23.11.1(typescript@6.0.3))(tsx@4.21.0)':
     dependencies:
       '@fortawesome/fontawesome-free': 7.2.0
-      '@mermaid-js/layout-elk': 0.2.1(mermaid@11.14.0)
-      '@mermaid-js/mermaid-zenuml': 0.2.2(@babel/core@7.29.7)(@babel/template@7.29.7)(@types/react@19.2.16)(mermaid@11.14.0)(tsx@4.21.0)
+      '@mermaid-js/layout-elk': 0.2.1(mermaid@11.16.1)
+      '@mermaid-js/mermaid-zenuml': 0.2.2(@babel/core@7.29.7)(@babel/template@7.29.7)(@types/react@19.2.16)(mermaid@11.16.1)(tsx@4.21.0)
       chalk: 5.6.2
       commander: 13.1.0
       import-meta-resolve: 4.2.0
       katex: 0.16.45
-      mermaid: 11.14.0
+      mermaid: 11.16.1
       p-limit: 6.2.0
       puppeteer: 23.11.1(typescript@6.0.3)
     optionalDependencies:
-      '@mermaid-js/layout-tidy-tree': 0.2.2(mermaid@11.14.0)
+      '@mermaid-js/layout-tidy-tree': 0.2.2(mermaid@11.16.1)
     transitivePeerDependencies:
       - '@babel/core'
       - '@babel/template'
@@ -7143,10 +7113,10 @@ snapshots:
       - tsx
       - yaml
 
-  '@mermaid-js/mermaid-zenuml@0.2.2(@babel/core@7.29.7)(@babel/template@7.29.7)(@types/react@19.2.16)(mermaid@11.14.0)(tsx@4.21.0)':
+  '@mermaid-js/mermaid-zenuml@0.2.2(@babel/core@7.29.7)(@babel/template@7.29.7)(@types/react@19.2.16)(mermaid@11.16.1)(tsx@4.21.0)':
     dependencies:
       '@zenuml/core': 3.47.2(@babel/core@7.29.7)(@babel/template@7.29.7)(@types/react@19.2.16)(tsx@4.21.0)
-      mermaid: 11.14.0
+      mermaid: 11.16.1
     transitivePeerDependencies:
       - '@babel/core'
       - '@babel/template'
@@ -7158,11 +7128,7 @@ snapshots:
     dependencies:
       langium: 3.3.1
 
-  '@mermaid-js/parser@1.1.0':
-    dependencies:
-      langium: 4.2.2
-
-  '@mermaid-js/parser@1.1.1':
+  '@mermaid-js/parser@1.2.0':
     dependencies:
       '@chevrotain/types': 11.1.2
 
@@ -8390,6 +8356,11 @@ snapshots:
     dependencies:
       undici-types: 6.21.0
 
+  '@types/node@22.20.1':
+    dependencies:
+      undici-types: 6.21.0
+    optional: true
+
   '@types/pako@2.0.4': {}
 
   '@types/pdfkit@0.17.5':
@@ -8428,7 +8399,7 @@ snapshots:
 
   '@types/yauzl@2.10.3':
     dependencies:
-      '@types/node': 22.20.0
+      '@types/node': 22.20.1
     optional: true
 
   '@typescript-eslint/eslint-plugin@8.60.1(@typescript-eslint/parser@8.60.1(eslint@9.39.4(jiti@1.21.7))(typescript@6.0.3))(eslint@9.39.4(jiti@1.21.7))(typescript@6.0.3)':
@@ -8660,7 +8631,7 @@ snapshots:
       class-variance-authority: 0.7.1
       clsx: 2.1.1
       color-string: 2.1.4
-      dompurify: 3.3.3
+      dompurify: 3.4.13
       highlight.js: 10.7.3
       html-to-image: 1.11.13
       immer: 10.2.0
@@ -8847,18 +8818,18 @@ snapshots:
 
   bare-events@2.9.1: {}
 
-  bare-fs@4.7.4:
+  bare-fs@4.8.0:
     dependencies:
       bare-events: 2.9.1
-      bare-path: 3.1.0
+      bare-path: 3.1.1
       bare-stream: 2.13.3(bare-events@2.9.1)
-      bare-url: 2.4.5
+      bare-url: 2.5.2
       fast-fifo: 1.3.2
     transitivePeerDependencies:
       - bare-abort-controller
       - react-native-b4a
 
-  bare-path@3.1.0: {}
+  bare-path@3.1.1: {}
 
   bare-stream@2.13.3(bare-events@2.9.1):
     dependencies:
@@ -8870,9 +8841,9 @@ snapshots:
     transitivePeerDependencies:
       - react-native-b4a
 
-  bare-url@2.4.5:
+  bare-url@2.5.2:
     dependencies:
-      bare-path: 3.1.0
+      bare-path: 3.1.1
 
   base64-arraybuffer@1.0.2:
     optional: true
@@ -9035,11 +9006,6 @@ snapshots:
       chevrotain: 11.0.3
       lodash-es: 4.18.1
 
-  chevrotain-allstar@0.4.1(chevrotain@12.0.0):
-    dependencies:
-      chevrotain: 12.0.0
-      lodash-es: 4.18.1
-
   chevrotain@11.0.3:
     dependencies:
       '@chevrotain/cst-dts-gen': 11.0.3
@@ -9049,14 +9015,6 @@ snapshots:
       '@chevrotain/utils': 11.0.3
       lodash-es: 4.17.21
 
-  chevrotain@12.0.0:
-    dependencies:
-      '@chevrotain/cst-dts-gen': 12.0.0
-      '@chevrotain/gast': 12.0.0
-      '@chevrotain/regexp-to-ast': 12.0.0
-      '@chevrotain/types': 12.0.0
-      '@chevrotain/utils': 12.0.0
-
   chokidar@3.6.0:
     dependencies:
       anymatch: 3.1.3
@@ -9166,7 +9124,7 @@ snapshots:
     dependencies:
       env-paths: 2.2.1
       import-fresh: 3.3.1
-      js-yaml: 4.3.0
+      js-yaml: 4.3.1
       parse-json: 5.2.0
     optionalDependencies:
       typescript: 6.0.3
@@ -9434,7 +9392,7 @@ snapshots:
       es-errors: 1.3.0
       is-data-view: 1.0.2
 
-  dayjs@1.11.20: {}
+  dayjs@1.11.23: {}
 
   debug@3.2.7:
     dependencies:
@@ -9524,6 +9482,11 @@ snapshots:
   dompurify@3.3.3:
     optionalDependencies:
       '@types/trusted-types': 2.0.7
+    optional: true
+
+  dompurify@3.4.13:
+    optionalDependencies:
+      '@types/trusted-types': 2.0.7
 
   dotenv@17.4.2: {}
 
@@ -9694,7 +9657,7 @@ snapshots:
       is-date-object: 1.1.0
       is-symbol: 1.1.1
 
-  es-toolkit@1.47.0: {}
+  es-toolkit@1.51.0: {}
 
   es6-promise-pool@2.5.0: {}
 
@@ -10449,7 +10412,7 @@ snapshots:
 
   ip-address@10.1.0: {}
 
-  ip-address@10.2.0: {}
+  ip-address@10.5.0: {}
 
   ipaddr.js@1.9.1: {}
 
@@ -10643,7 +10606,7 @@ snapshots:
     dependencies:
       argparse: 2.0.1
 
-  js-yaml@4.3.0:
+  js-yaml@4.3.1:
     dependencies:
       argparse: 2.0.1
 
@@ -10730,6 +10693,10 @@ snapshots:
     dependencies:
       commander: 8.3.0
 
+  katex@0.16.47:
+    dependencies:
+      commander: 8.3.0
+
   keycharm@0.4.0: {}
 
   keyv@4.5.4:
@@ -10748,15 +10715,6 @@ snapshots:
       vscode-languageserver-textdocument: 1.0.12
       vscode-uri: 3.0.8
 
-  langium@4.2.2:
-    dependencies:
-      '@chevrotain/regexp-to-ast': 12.0.0
-      chevrotain: 12.0.0
-      chevrotain-allstar: 0.4.1(chevrotain@12.0.0)
-      vscode-languageserver: 9.0.1
-      vscode-languageserver-textdocument: 1.0.12
-      vscode-uri: 3.1.0
-
   language-subtag-registry@0.3.23: {}
 
   language-tags@1.0.9:
@@ -10891,11 +10849,11 @@ snapshots:
 
   merge2@1.4.1: {}
 
-  mermaid@11.14.0:
+  mermaid@11.16.1:
     dependencies:
       '@braintree/sanitize-url': 7.1.2
-      '@iconify/utils': 3.1.0
-      '@mermaid-js/parser': 1.1.0
+      '@iconify/utils': 3.1.4
+      '@mermaid-js/parser': 1.2.0
       '@types/d3': 7.4.3
       '@upsetjs/venn.js': 2.0.0
       cytoscape: 3.34.1
@@ -10904,40 +10862,16 @@ snapshots:
       d3: 7.9.0
       d3-sankey: 0.12.3
       dagre-d3-es: 7.0.14
-      dayjs: 1.11.20
-      dompurify: 3.3.3
-      katex: 0.16.45
-      khroma: 2.1.0
-      lodash-es: 4.18.1
-      marked: 16.4.2
-      roughjs: 4.6.6
-      stylis: 4.3.6
-      ts-dedent: 2.2.0
-      uuid: 11.1.0
-
-  mermaid@11.15.0:
-    dependencies:
-      '@braintree/sanitize-url': 7.1.2
-      '@iconify/utils': 3.1.0
-      '@mermaid-js/parser': 1.1.1
-      '@types/d3': 7.4.3
-      '@upsetjs/venn.js': 2.0.0
-      cytoscape: 3.34.1
-      cytoscape-cose-bilkent: 4.1.0(cytoscape@3.34.1)
-      cytoscape-fcose: 2.2.0(cytoscape@3.34.1)
-      d3: 7.9.0
-      d3-sankey: 0.12.3
-      dagre-d3-es: 7.0.14
-      dayjs: 1.11.20
-      dompurify: 3.3.3
-      es-toolkit: 1.47.0
-      katex: 0.16.45
+      dayjs: 1.11.23
+      dompurify: 3.4.13
+      es-toolkit: 1.51.0
+      katex: 0.16.47
       khroma: 2.1.0
       marked: 16.4.2
       roughjs: 4.6.6
-      stylis: 4.3.6
-      ts-dedent: 2.2.0
-      uuid: 11.1.0
+      stylis: 4.4.0
+      ts-dedent: 2.3.0
+      uuid: 14.0.1
 
   micromatch@4.0.8:
     dependencies:
@@ -11207,7 +11141,7 @@ snapshots:
       degenerator: 5.0.1
       netmask: 2.1.1
 
-  package-manager-detector@1.6.0: {}
+  package-manager-detector@1.8.0: {}
 
   pako@0.2.9: {}
 
@@ -11496,7 +11430,7 @@ snapshots:
       debug: 4.4.3
       devtools-protocol: 0.0.1367902
       typed-query-selector: 2.12.2
-      ws: 8.21.0
+      ws: 8.21.3
     transitivePeerDependencies:
       - bare-abort-controller
       - bare-buffer
@@ -11999,7 +11933,7 @@ snapshots:
 
   socks@2.8.9:
     dependencies:
-      ip-address: 10.2.0
+      ip-address: 10.5.0
       smart-buffer: 4.2.0
 
   sonic-boom@3.8.1:
@@ -12128,7 +12062,7 @@ snapshots:
     optionalDependencies:
       '@babel/core': 7.29.7
 
-  stylis@4.3.6: {}
+  stylis@4.4.0: {}
 
   sucrase@3.35.1:
     dependencies:
@@ -12211,8 +12145,8 @@ snapshots:
       pump: 3.0.4
       tar-stream: 3.2.0
     optionalDependencies:
-      bare-fs: 4.7.4
-      bare-path: 3.1.0
+      bare-fs: 4.8.0
+      bare-path: 3.1.1
     transitivePeerDependencies:
       - bare-abort-controller
       - bare-buffer
@@ -12230,7 +12164,7 @@ snapshots:
   tar-stream@3.2.0:
     dependencies:
       b4a: 1.8.1
-      bare-fs: 4.7.4
+      bare-fs: 4.8.0
       fast-fifo: 1.3.2
       streamx: 2.28.0
     transitivePeerDependencies:
@@ -12280,7 +12214,7 @@ snapshots:
 
   tinyexec@0.3.2: {}
 
-  tinyexec@1.1.1: {}
+  tinyexec@1.3.0: {}
 
   tinyglobby@0.2.16:
     dependencies:
@@ -12317,7 +12251,7 @@ snapshots:
     dependencies:
       typescript: 6.0.3
 
-  ts-dedent@2.2.0: {}
+  ts-dedent@2.3.0: {}
 
   ts-interface-checker@0.1.13: {}
 
@@ -12572,22 +12506,22 @@ snapshots:
       base64-arraybuffer: 1.0.2
     optional: true
 
-  uuid@11.1.0: {}
+  uuid@14.0.1: {}
 
   vary@1.1.2: {}
 
-  vis-data@8.0.5(uuid@11.1.0)(vis-util@6.0.2(@egjs/hammerjs@2.0.17)(component-emitter@2.0.0)):
+  vis-data@8.0.5(uuid@14.0.1)(vis-util@6.0.2(@egjs/hammerjs@2.0.17)(component-emitter@2.0.0)):
     dependencies:
-      uuid: 11.1.0
+      uuid: 14.0.1
       vis-util: 6.0.2(@egjs/hammerjs@2.0.17)(component-emitter@2.0.0)
 
-  vis-network@10.1.1(@egjs/hammerjs@2.0.17)(component-emitter@2.0.0)(keycharm@0.4.0)(uuid@11.1.0)(vis-data@8.0.5(uuid@11.1.0)(vis-util@6.0.2(@egjs/hammerjs@2.0.17)(component-emitter@2.0.0)))(vis-util@6.0.2(@egjs/hammerjs@2.0.17)(component-emitter@2.0.0)):
+  vis-network@10.1.1(@egjs/hammerjs@2.0.17)(component-emitter@2.0.0)(keycharm@0.4.0)(uuid@14.0.1)(vis-data@8.0.5(uuid@14.0.1)(vis-util@6.0.2(@egjs/hammerjs@2.0.17)(component-emitter@2.0.0)))(vis-util@6.0.2(@egjs/hammerjs@2.0.17)(component-emitter@2.0.0)):
     dependencies:
       '@egjs/hammerjs': 2.0.17
       component-emitter: 2.0.0
       keycharm: 0.4.0
-      uuid: 11.1.0
-      vis-data: 8.0.5(uuid@11.1.0)(vis-util@6.0.2(@egjs/hammerjs@2.0.17)(component-emitter@2.0.0))
+      uuid: 14.0.1
+      vis-data: 8.0.5(uuid@14.0.1)(vis-util@6.0.2(@egjs/hammerjs@2.0.17)(component-emitter@2.0.0))
       vis-util: 6.0.2(@egjs/hammerjs@2.0.17)(component-emitter@2.0.0)
 
   vis-util@6.0.2(@egjs/hammerjs@2.0.17)(component-emitter@2.0.0):
@@ -12612,8 +12546,6 @@ snapshots:
 
   vscode-uri@3.0.8: {}
 
-  vscode-uri@3.1.0: {}
-
   w3c-xmlserializer@5.0.0:
     dependencies:
       xml-name-validator: 5.0.0
@@ -12695,6 +12627,8 @@ snapshots:
 
   ws@8.21.0: {}
 
+  ws@8.21.3: {}
+
   xdg-app-paths@5.5.1:
     dependencies:
       os-paths: 4.4.0