improvement(search): polish organization search and source results #32819

Job	Run time
Test and Build / PostgreSQL integration (push)	5m 11s
Test and Build / Test (shard 2)	2m 18s
Test and Build / Lint and Test	3m 20s
Test and Build / Build App	4m 23s
Test and Build / Test (shard 3)	2m 14s
Test and Build / PostgreSQL integration (migrate)	5m 32s
Build AMD64	0s
Check Desktop Signing Secrets	0s
Build Dev ECR	0s
Detect Desktop Changes	0s
Build ARM64 (GHCR Only)	0s
Migrate Dev DB	0s
Prepare Trigger.dev	0s
Create Desktop Prerelease	0s
Desktop Prerelease Build	0s
Publish Desktop Prerelease	0s
Prune Desktop Prereleases	0s
Detect Version	-7s
Check Docs Changes	-8s
Migrate DB	-1s
Promote Images	-1s
Process Docs	-1s
Create GHCR Manifests	-1s
Promote Trigger.dev	-1s
Attest Images	0s
Resolve Attestation Subjects	-1s
Create GitHub Release	0s
Desktop Release	0s
	22m 37s

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