fix(desktop): set the browser user agent process-wide so Cloudflare Turnstile passes #32684

Job	Run time
Test and Build / Lint and Test	54s
Test and Build / Build App	31s
Test and Build / PostgreSQL integration (push)	4m 25s
Test and Build / PostgreSQL integration (migrate)	3m 30s
Test and Build / Test (shard 2)	24s
Test and Build / Test (shard 3)	25s
Check Docs Changes	0s
Migrate Dev DB	0s
Build AMD64	0s
Detect Version	0s
Prepare Trigger.dev	0s
Check Desktop Signing Secrets	0s
Create Desktop Prerelease	0s
Desktop Prerelease Build	-1s
Publish Desktop Prerelease	-1s
Prune Desktop Prereleases	-1s
Build ARM64 (GHCR Only)	-5s
Build Dev ECR	-8s
Detect Desktop Changes	-10s
Migrate DB	0s
Create GHCR Manifests	0s
Promote Images	0s
Process Docs	0s
Promote Trigger.dev	0s
Resolve Attestation Subjects	-1s
Attest Images	-1s
Desktop Release	0s
Create GitHub Release	-1s
	9m 40s

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