implement backend skeleton with MongoDB and Claude AI integration

- Add controllers (Auth, Chat, Event) with placeholder implementations
- Add services (Auth, Chat, Event) with business logic interfaces
- Add repositories with MongoDB/Mongoose models (User, Event, Chat)
- Add middleware for JWT authentication
- Add Claude AI adapter implementing AIProvider interface
- Add utility modules for JWT and password handling
- Add shared types and DTOs for User, CalendarEvent, ChatMessage
- Configure routes with proper endpoint structure
- Update app.ts with dependency injection setup
- Add required dependencies: mongoose, bcrypt, jsonwebtoken, @anthropic-ai/sdk

apps/server/src/routes/auth.routes.ts

@@ -0,0 +1,13 @@
+import { Router } from 'express';
+import { AuthController } from '../controllers';
+
+export function createAuthRoutes(authController: AuthController): Router {
+  const router = Router();
+
+  router.post('/login', (req, res) => authController.login(req, res));
+  router.post('/register', (req, res) => authController.register(req, res));
+  router.post('/refresh', (req, res) => authController.refresh(req, res));
+  router.post('/logout', (req, res) => authController.logout(req, res));
+
+  return router;
+}