feat(auth): manage Google OAuth credentials from the database (epic 6b)

- Build the Google OAuth client lazily from sysconfig (DB override, env fallback) and re-register
  when the credentials change, so the install wizard / admin can set them without a restart.
- New 'google' config group (google_client_id/secret, encrypted) on the Configuration page; the
  token-refresh reads the creds the same way.
- Public GET /auth/config exposes google_enabled; the login page hides 'Continue with Google'
  when Google OAuth isn't configured (email+password still works).

frontend/src/i18n/locales/en/config.json

@@ -5,6 +5,7 @@
     "access": "Access",
     "email": "Email / SMTP",
     "youtube": "YouTube API",
+    "google": "Google sign-in",
     "quota": "Quota",
     "backfill": "Backfill",
     "shorts": "Shorts probe",
@@ -25,6 +26,8 @@
     "enrich_batch_size": { "label": "Enrichment batch size", "hint": "videos.list ids per call (YouTube caps this at 50)." },
     "autotag_title_sample": { "label": "Auto-tag title sample", "hint": "Recent video titles sampled per channel for language detection." },
     "youtube_api_key": { "label": "YouTube API key", "hint": "Optional. Used for public reads (channels/videos) so shared backfill doesn't depend on a user's OAuth. Stored encrypted; write-only." },
+    "google_client_id": { "label": "Google client ID", "hint": "OAuth 2.0 client ID for Sign in with Google. Stored encrypted; write-only. Leave both Google fields empty to disable Google sign-in (email+password still works)." },
+    "google_client_secret": { "label": "Google client secret", "hint": "OAuth 2.0 client secret. Stored encrypted; write-only." },
     "allow_registration": { "label": "Allow registration", "hint": "When on, anyone can submit an email+password registration. They still need to verify their email and be approved by an admin before they can sign in." }
   },
   "save": "Save",