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/package.json

@@ -8,12 +8,19 @@
     "start": "node dist/app.js"
   },
   "dependencies": {
+    "@anthropic-ai/sdk": "^0.71.2",
     "@caldav/shared": "*",
-    "express": "^5.2.1"
+    "bcrypt": "^6.0.0",
+    "express": "^5.2.1",
+    "jsonwebtoken": "^9.0.3",
+    "mongoose": "^9.1.1"
   },
   "devDependencies": {
+    "@types/bcrypt": "^6.0.0",
     "@types/express": "^5.0.6",
+    "@types/jsonwebtoken": "^9.0.10",
     "@types/node": "^24.10.1",
-    "tsx": "^4.21.0"
+    "tsx": "^4.21.0",
+    "typescript": "^5.9.3"
   }
 }