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/src/main.ts

@@ -0,0 +1,9 @@
+import { createApp } from 'vue';
+import App from './App.vue';
+import router from './router';
+
+const app = createApp(App);
+
+app.use(router);
+
+app.mount('#app');