fix(search): harden live search accuracy, provider queries, and request cost #32830

Job	Run time
Test and Build / Build App	3m 33s
Test and Build / PostgreSQL integration (push)	5m 8s
Test and Build / Lint and Test	34s
Test and Build / Test (shard 3)	2m 20s
Test and Build / PostgreSQL integration (migrate)	5m 42s
Test and Build / Test (shard 2)	2m 18s
Detect Desktop Changes	0s
Migrate Dev DB	0s
Build AMD64	0s
Detect Version	0s
Prepare Trigger.dev	0s
Build ARM64 (GHCR Only)	0s
Check Docs Changes	0s
Build Dev ECR	0s
Check Desktop Signing Secrets	0s
Desktop Prerelease Build	0s
Create Desktop Prerelease	0s
Publish Desktop Prerelease	0s
Prune Desktop Prereleases	-1s
Migrate DB	0s
Create GHCR Manifests	0s
Promote Images	0s
Promote Trigger.dev	0s
Resolve Attestation Subjects	0s
Process Docs	0s
Create GitHub Release	0s
Attest Images	0s
Desktop Release	0s
	19m 34s

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