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

frontend/node_modules/nanoid/nanoid.js

@@ -0,0 +1 @@
+export let nanoid=(t=21)=>crypto.getRandomValues(new Uint8Array(t)).reduce(((t,e)=>t+=(e&=63)<36?e.toString(36):e<62?(e-26).toString(36).toUpperCase():e<63?"_":"-"),"");