feat: add CalDAV synchronization with automatic sync

- Add CaldavService with tsdav/ical.js for CalDAV server communication
- Add CaldavController, CaldavRepository, and caldav routes
- Add client-side CaldavConfigService with sync(), config CRUD
- Add CalDAV settings UI with config load/save in settings screen
- Sync on login, auto-login (AuthGuard), periodic timer (calendar), and sync button
- Push single events to CalDAV on server-side create/update/delete
- Push all events to CalDAV after chat event confirmation
- Refactor ChatService to use EventService instead of direct EventRepository
- Rename CalDav/calDav to Caldav/caldav for consistent naming
- Add Radicale Docker setup for local CalDAV testing
- Update PlantUML diagrams and CLAUDE.md with CalDAV architecture

apps/server/src/routes/index.ts

@@ -6,12 +6,15 @@ import {
   AuthController,
   ChatController,
   EventController,
+  CaldavController
 } from "../controllers";
+import { createCaldavRoutes } from "./caldav.routes";
 
 export interface Controllers {
   authController: AuthController;
   chatController: ChatController;
   eventController: EventController;
+  caldavController: CaldavController;
 }
 
 export function createRoutes(controllers: Controllers): Router {
@@ -20,6 +23,7 @@ export function createRoutes(controllers: Controllers): Router {
   router.use("/auth", createAuthRoutes(controllers.authController));
   router.use("/chat", createChatRoutes(controllers.chatController));
   router.use("/events", createEventRoutes(controllers.eventController));
+  router.use("/caldav", createCaldavRoutes(controllers.caldavController));
 
   return router;
 }