refactor(auth): update Google connection UI and logic #1591

Bugbot Review

Bugbot Analysis Progress (4m 12s elapsed)

✅ Gathered PR context (2s)
✅ Completed bug detection (4m 1s)
✅ Posted analysis results (9s)

Final Result: Bugbot completed review and found 2 potential issues.

Request ID: serverGenReqId_52857842-a3a6-4d22-978c-f5dbba9872d1

Cursor Bugbot has reviewed your changes and found 2 potential issues.

^{Bugbot Autofix is ON, but it could not run because the branch was deleted or merged before autofix could start.}