diff --git a/.github/workflows/build.yml b/.github/workflows/build.yml
index 7cfe374..8fa5eb2 100644
--- a/.github/workflows/build.yml
+++ b/.github/workflows/build.yml
@@ -21,11 +21,11 @@ concurrency:
 jobs:
   # docker-build needs a Docker daemon, and cordon-exec has none (Docker on our host is root). So the
   # image job runs on GitHub's runners, on every push to the default branch and on a PR that
-  # changes what the image is built from: the Dockerfile, .dockerignore, the package files,
+  # changes what the image is built from: the Dockerfile, .dockerignore or Dockerfile.dockerignore, the package files,
   # tsconfig.json, src/, or this file. The required check docker-build runs on our runner and passes only when that
   # job passed or was not owed, so a PR that changes none of them never waits on GitHub's queue.
   docker-build-inputs:
-    runs-on: ${{ github.event.pull_request && (github.event.pull_request.head.repo.full_name != github.repository || github.event.pull_request.user.login == 'dependabot[bot]') && 'ubuntu-latest' || fromJSON('["self-hosted","cordon-exec"]') }}
+    runs-on: ${{ (github.repository != 'askalf/cordon' || github.event.pull_request && (github.event.pull_request.head.repo.full_name != github.repository || github.event.pull_request.user.login == 'dependabot[bot]')) && 'ubuntu-latest' || fromJSON('["self-hosted","cordon-exec"]') }}
     timeout-minutes: 5
     outputs:
       changed: ${{ steps.diff.outputs.changed }}
@@ -57,7 +57,7 @@ jobs:
           while IFS= read -r -d '' f; do
             printf '%s\n' "$f"
             case "$f" in
-              Dockerfile|.dockerignore|package.json|package-lock.json|tsconfig.json|src/*|.github/workflows/build.yml)
+              Dockerfile|.dockerignore|Dockerfile.dockerignore|package.json|package-lock.json|tsconfig.json|src/*|.github/workflows/build.yml)
                 changed=true ;;
             esac
           done < "$list"
@@ -118,7 +118,7 @@ jobs:
   docker-build:
     needs: [docker-build-inputs, docker-build-image]
     if: always()
-    runs-on: ${{ github.event.pull_request && (github.event.pull_request.head.repo.full_name != github.repository || github.event.pull_request.user.login == 'dependabot[bot]') && 'ubuntu-latest' || fromJSON('["self-hosted","cordon-exec"]') }}
+    runs-on: ${{ (github.repository != 'askalf/cordon' || github.event.pull_request && (github.event.pull_request.head.repo.full_name != github.repository || github.event.pull_request.user.login == 'dependabot[bot]')) && 'ubuntu-latest' || fromJSON('["self-hosted","cordon-exec"]') }}
     timeout-minutes: 5
     steps:
       - name: the image job passed, or no change owed one
diff --git a/.github/workflows/ci.yml b/.github/workflows/ci.yml
index f451f46..6e8a2cb 100644
--- a/.github/workflows/ci.yml
+++ b/.github/workflows/ci.yml
@@ -14,11 +14,11 @@ concurrency:
 
 jobs:
   test:
-    # Our own code (pushes, same-repo PRs, schedules, dispatches) runs on cordon-exec, the
-    # non-root one-job runners on our host, so GitHub's hosted
-    # queue going down does not hold our PRs. A fork's PR and a Dependabot PR run code nobody
-    # here wrote, so they stay on GitHub's runners.
-    runs-on: ${{ github.event.pull_request && (github.event.pull_request.head.repo.full_name != github.repository || github.event.pull_request.user.login == 'dependabot[bot]') && 'ubuntu-latest' || fromJSON('["self-hosted","cordon-exec"]') }}
+    # Our own code (pushes, same-repo PRs, schedules, dispatches) runs on cordon-exec, our non-root
+    # one-job runners, so GitHub's hosted queue going down does not hold our PRs. A fork's PR
+    # and a Dependabot PR run code nobody here wrote, and a fork repository has no cordon-exec
+    # runners, so those stay on GitHub's runners.
+    runs-on: ${{ (github.repository != 'askalf/cordon' || github.event.pull_request && (github.event.pull_request.head.repo.full_name != github.repository || github.event.pull_request.user.login == 'dependabot[bot]')) && 'ubuntu-latest' || fromJSON('["self-hosted","cordon-exec"]') }}
     timeout-minutes: 10
     steps:
       - uses: actions/checkout@3d3c42e5aac5ba805825da76410c181273ba90b1 # v7.0.1
diff --git a/.github/workflows/codeql.yml b/.github/workflows/codeql.yml
index 7c429b5..e47d4be 100644
--- a/.github/workflows/codeql.yml
+++ b/.github/workflows/codeql.yml
@@ -18,11 +18,9 @@ concurrency:
 jobs:
   analyze:
     name: analyze (${{ matrix.language }})
-    # Our own code (pushes, same-repo PRs, schedules, dispatches) runs on cordon-exec, the
-    # non-root one-job runners on our host, so GitHub's hosted
-    # queue going down does not hold our PRs. A fork's PR and a Dependabot PR run code nobody
-    # here wrote, so they stay on GitHub's runners.
-    runs-on: ${{ github.event.pull_request && (github.event.pull_request.head.repo.full_name != github.repository || github.event.pull_request.user.login == 'dependabot[bot]') && 'ubuntu-latest' || fromJSON('["self-hosted","cordon-exec"]') }}
+    # CodeQL runs on GitHub's runners: it sizes itself to the machine, and the exec runners of
+    # every repo share one host, so concurrent analyses would exhaust its memory.
+    runs-on: ubuntu-latest
     timeout-minutes: 20
     permissions:
       actions: read
@@ -36,16 +34,10 @@ jobs:
       - uses: actions/checkout@3d3c42e5aac5ba805825da76410c181273ba90b1 # v7.0.1
         with:
           persist-credentials: false
-      # CodeQL sizes itself to the machine's RAM and cores; on our host every exec runner shares
-      # one memory ceiling, so on our runner it gets 2G and two threads, on GitHub's its defaults.
       - uses: github/codeql-action/init@2892aa5e19bbd11bc0cff5427e3b750a04d9e3c2 # v4.38.2
         with:
           languages: ${{ matrix.language }}
           queries: security-and-quality
-          ram: ${{ runner.environment == 'self-hosted' && '2048' || '' }}
-          threads: ${{ runner.environment == 'self-hosted' && '2' || '' }}
       - uses: github/codeql-action/analyze@2892aa5e19bbd11bc0cff5427e3b750a04d9e3c2 # v4.38.2
         with:
           category: "/language:${{ matrix.language }}"
-          ram: ${{ runner.environment == 'self-hosted' && '2048' || '' }}
-          threads: ${{ runner.environment == 'self-hosted' && '2' || '' }}
diff --git a/.github/workflows/fleet-status-backfill.yml b/.github/workflows/fleet-status-backfill.yml
index 8b36828..f0310f7 100644
--- a/.github/workflows/fleet-status-backfill.yml
+++ b/.github/workflows/fleet-status-backfill.yml
@@ -11,7 +11,8 @@ jobs:
   backfill:
     # Our own script on its own trigger, never PR code: on our runner, so GitHub's hosted
     # queue going down does not stop it.
-    runs-on: [self-hosted, cordon-exec]
+    # A fork repository has no cordon-exec runners, so there it runs on GitHub's.
+    runs-on: ${{ github.repository == 'askalf/cordon' && fromJSON('["self-hosted","cordon-exec"]') || 'ubuntu-latest' }}
     timeout-minutes: 10
     permissions:
       contents: read
diff --git a/.github/workflows/fleet-status-self-test.yml b/.github/workflows/fleet-status-self-test.yml
index 0d0ec44..1fc2cb9 100644
--- a/.github/workflows/fleet-status-self-test.yml
+++ b/.github/workflows/fleet-status-self-test.yml
@@ -16,11 +16,11 @@ permissions: {}
 
 jobs:
   self-test:
-    # Our own code (pushes, same-repo PRs, schedules, dispatches) runs on cordon-exec, the
-    # non-root one-job runners on our host, so GitHub's hosted
-    # queue going down does not hold our PRs. A fork's PR and a Dependabot PR run code nobody
-    # here wrote, so they stay on GitHub's runners.
-    runs-on: ${{ github.event.pull_request && (github.event.pull_request.head.repo.full_name != github.repository || github.event.pull_request.user.login == 'dependabot[bot]') && 'ubuntu-latest' || fromJSON('["self-hosted","cordon-exec"]') }}
+    # Our own code (pushes, same-repo PRs, schedules, dispatches) runs on cordon-exec, our non-root
+    # one-job runners, so GitHub's hosted queue going down does not hold our PRs. A fork's PR
+    # and a Dependabot PR run code nobody here wrote, and a fork repository has no cordon-exec
+    # runners, so those stay on GitHub's runners.
+    runs-on: ${{ (github.repository != 'askalf/cordon' || github.event.pull_request && (github.event.pull_request.head.repo.full_name != github.repository || github.event.pull_request.user.login == 'dependabot[bot]')) && 'ubuntu-latest' || fromJSON('["self-hosted","cordon-exec"]') }}
     timeout-minutes: 5
     permissions:
       contents: read
diff --git a/.github/workflows/fleet-status.yml b/.github/workflows/fleet-status.yml
index 7205a7b..17aef32 100644
--- a/.github/workflows/fleet-status.yml
+++ b/.github/workflows/fleet-status.yml
@@ -44,7 +44,8 @@ jobs:
     # On our runner for every event, a fork's included: the job runs the default branch's script
     # and never PR code (see above), so GitHub's hosted queue going down does not hold the
     # fleet/verify and fleet/review statuses a merge waits on.
-    runs-on: [self-hosted, cordon-exec]
+    # A fork repository has no cordon-exec runners, so there it runs on GitHub's.
+    runs-on: ${{ github.repository == 'askalf/cordon' && fromJSON('["self-hosted","cordon-exec"]') || 'ubuntu-latest' }}
     timeout-minutes: 5
     permissions:
       contents: read
diff --git a/.github/workflows/labels.yml b/.github/workflows/labels.yml
index 6ad6902..3d9aa6a 100644
--- a/.github/workflows/labels.yml
+++ b/.github/workflows/labels.yml
@@ -32,11 +32,11 @@ permissions:
 jobs:
   manifest:
     name: manifest matches the repo
-    # Our own code (pushes, same-repo PRs, schedules, dispatches) runs on cordon-exec, the
-    # non-root one-job runners on our host, so GitHub's hosted
-    # queue going down does not hold our PRs. A fork's PR and a Dependabot PR run code nobody
-    # here wrote, so they stay on GitHub's runners.
-    runs-on: ${{ github.event.pull_request && (github.event.pull_request.head.repo.full_name != github.repository || github.event.pull_request.user.login == 'dependabot[bot]') && 'ubuntu-latest' || fromJSON('["self-hosted","cordon-exec"]') }}
+    # Our own code (pushes, same-repo PRs, schedules, dispatches) runs on cordon-exec, our non-root
+    # one-job runners, so GitHub's hosted queue going down does not hold our PRs. A fork's PR
+    # and a Dependabot PR run code nobody here wrote, and a fork repository has no cordon-exec
+    # runners, so those stay on GitHub's runners.
+    runs-on: ${{ (github.repository != 'askalf/cordon' || github.event.pull_request && (github.event.pull_request.head.repo.full_name != github.repository || github.event.pull_request.user.login == 'dependabot[bot]')) && 'ubuntu-latest' || fromJSON('["self-hosted","cordon-exec"]') }}
     timeout-minutes: 3
     permissions:
       contents: read
diff --git a/scripts/fleet-status.test.mjs b/scripts/fleet-status.test.mjs
index 30e8e29..7e43977 100644
--- a/scripts/fleet-status.test.mjs
+++ b/scripts/fleet-status.test.mjs
@@ -514,40 +514,49 @@ console.log('\n  fleet-status.yml: which events run the job for a fork');
     && checkouts.every((m) => /ref: \$\{\{ github\.event\.repository\.default_branch \}\}/.test(m[1])));
   check('no step reads the PR head ref or sha', !/(pull_request\.head\.(ref|sha)|workflow_run\.head_sha)/.test(own));
 
-  // Our own code runs on cordon-exec, our host's runners; code nobody here wrote never does. A
-  // runs-on expression sends a fork's PR and a Dependabot PR to GitHub's runners and everything
-  // else to ours. A literal cordon-exec on a pull_request workflow needs a job if: that keeps forks off
-  // it, or a job that never runs PR code (fleet-status, checked above).
+  // Our own code runs on cordon-exec, our host's runners; code nobody here wrote never does, and a fork
+  // repository, which has no cordon-exec runners, never waits for one. The own-code expression sends a
+  // fork's PR, a Dependabot PR and any run in a fork repository to GitHub's runners and everything
+  // else to ours. The repository-only expression, for jobs that never run PR code, sends everything
+  // here to ours. A literal cordon-exec needs a job if: that keeps it to this repository's own code.
   const OWN_RE = /^\s+runs-on: \$\{\{ (.+) \}\}$/;
-  const exprs = [];
+  const HOME_REPO = 'askalf/cordon';
+  const ownExprs = [];
+  const repoOnly = [];
   const literal = [];
   for (const f of readdirSync(dir).filter((x) => /\.ya?ml$/.test(x))) {
     const y = readFileSync(join(dir, f), 'utf8');
     for (const line of y.split('\n')) {
       const m = OWN_RE.exec(line);
-      if (m && m[1].includes('cordon-exec')) exprs.push({ f, e: m[1] });
-      else if (/^\s+runs-on: \[self-hosted, cordon-exec\]/.test(line)) literal.push(f);
+      if (m && m[1].includes('cordon-exec')) (m[1].includes('github.event.pull_request') ? ownExprs : repoOnly).push({ f, e: m[1] });
+      else if (/^\s+runs-on: \[self-hosted, cordon\-exec\]/.test(line)) literal.push(f);
     }
   }
-  check('the own-code runs-on expression is in use', exprs.length >= 6);
-  const hosted = (e, github) => evalIf(`(${e}) == 'ubuntu-latest'`, { github: { repository: REPO, ...github } });
+  check('the own-code runs-on expression is in use', ownExprs.length >= 5);
+  const hosted = (e, github, repository = HOME_REPO) => evalIf(`(${e}) == 'ubuntu-latest'`, { github: { repository, ...github } });
   const prFrom = (event_name, headRepo, login = 'askalf') =>
     ({ event_name, event: { pull_request: { head: { repo: { full_name: headRepo } }, user: { login } } } });
-  for (const { f, e } of exprs) {
+  const EVENTS = [{ event_name: 'push', event: {} }, { event_name: 'schedule', event: {} }, { event_name: 'workflow_dispatch', event: {} }];
+  const FORK_REPO = 'someone/cordon';
+  for (const { f, e } of ownExprs) {
     check(`${f}: a fork's pull_request runs on GitHub's runners`, hosted(e, prFrom('pull_request', FORKED)));
     check(`${f}: a fork's pull_request_review runs on GitHub's runners`, hosted(e, prFrom('pull_request_review', FORKED)));
-    check(`${f}: a Dependabot PR runs on GitHub's runners`, hosted(e, prFrom('pull_request', REPO, 'dependabot[bot]')));
-    check(`${f}: a same-repo PR runs on ours`, !hosted(e, prFrom('pull_request', REPO)));
-    check(`${f}: a push, schedule or dispatch runs on ours`,
-      !hosted(e, { event_name: 'push', event: {} }) && !hosted(e, { event_name: 'schedule', event: {} })
-      && !hosted(e, { event_name: 'workflow_dispatch', event: {} }));
+    check(`${f}: a Dependabot PR runs on GitHub's runners`, hosted(e, prFrom('pull_request', HOME_REPO, 'dependabot[bot]')));
+    check(`${f}: a same-repo PR runs on ours`, !hosted(e, prFrom('pull_request', HOME_REPO)));
+    check(`${f}: a push, schedule or dispatch runs on ours`, EVENTS.every((ev) => !hosted(e, ev)));
+    check(`${f}: in a fork repository every event runs on GitHub's runners`,
+      EVENTS.every((ev) => hosted(e, ev, FORK_REPO)) && hosted(e, prFrom('pull_request', FORK_REPO), FORK_REPO));
     check(`${f}: the expression names exactly our label`, e.includes(`fromJSON('["self-hosted","cordon-exec"]')`));
   }
+  for (const { f, e } of repoOnly) {
+    check(`${f}: every event here runs on ours`, EVENTS.every((ev) => !hosted(e, ev)) && !hosted(e, prFrom('pull_request', FORKED)));
+    check(`${f}: in a fork repository it runs on GitHub's runners`, EVENTS.every((ev) => hosted(e, ev, FORK_REPO)));
+    check(`${f}: only a job that never runs PR code uses it`, ['fleet-status.yml', 'fleet-status-backfill.yml'].includes(f));
+  }
   for (const f of literal) {
     const y = readFileSync(join(dir, f), 'utf8');
-    const prTriggered = /\bpull_request(_target|_review)?\b/.test(onBlockOf(y));
-    check(`${f}: a literal cordon-exec is on a workflow no fork can run, or keeps forks off it`,
-      !prTriggered || f === 'fleet-status.yml' || /head\.repo\.full_name == github\.repository/.test(y));
+    check(`${f}: a literal cordon-exec job runs only in this repository, or only on its own PRs`,
+      y.includes(`github.repository == '${HOME_REPO}'`) || /head\.repo\.full_name == github\.repository/.test(y));
   }
 
   let relay = '';