Add OpenAPI docs, frontend, migrations, and API updates

- OpenAPI: add missing endpoints (add-from-url, subscriptions, public availability)
- OpenAPI: CalendarSubscription schema, Subscriptions tag
- Frontend app
- Migrations: count_for_availability, subscriptions_sync, user_preferences, calendar_settings
- Config, rate limit, auth, calendar, booking, ICS, availability, user service updates

Made-with: Cursor

migrations/000004_subscriptions_sync.up.sql

@@ -0,0 +1,2 @@
+-- Add sync_interval_minutes to calendar_subscriptions
+ALTER TABLE calendar_subscriptions ADD COLUMN sync_interval_minutes INTEGER DEFAULT NULL;