feat: implement competitive clicker MVP with Colyseus.js

- Add real-time multiplayer game server with Colyseus
- Implement unique player naming system with auto-increment
- Create lobby system with automatic matchmaking
- Build 10-minute competitive clicking game rooms (max 2 players)
- Add admin dashboard for game management (pause/resume/restart/kick)
- Implement Vue 3 client with professional UI
- Add WebSocket communication with state synchronization
- Include TypeScript throughout with proper typing
- Create REST API for admin operations
- Add reconnection support and error handling

client/tsconfig.json

@@ -0,0 +1,24 @@
+{
+  "compilerOptions": {
+    "target": "ES2020",
+    "useDefineForClassFields": true,
+    "module": "ESNext",
+    "lib": ["ES2020", "DOM", "DOM.Iterable"],
+    "skipLibCheck": true,
+    "moduleResolution": "bundler",
+    "allowImportingTsExtensions": true,
+    "isolatedModules": true,
+    "moduleDetection": "force",
+    "noEmit": true,
+    "jsx": "preserve",
+    "strict": true,
+    "noUnusedLocals": true,
+    "noUnusedParameters": true,
+    "noFallthroughCasesInSwitch": true,
+    "allowSyntheticDefaultImports": true,
+    "esModuleInterop": true,
+    "resolveJsonModule": true
+  },
+  "include": ["src/**/*.ts", "src/**/*.tsx", "src/**/*.vue"],
+  "references": [{ "path": "./tsconfig.node.json" }]
+}