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

server/src/utils/nameManager.ts

@@ -0,0 +1,46 @@
+export class NameManager {
+  private static instance: NameManager;
+  private nameCounters: Map<string, number> = new Map();
+  private sessionToName: Map<string, string> = new Map();
+
+  private constructor() {}
+
+  static getInstance(): NameManager {
+    if (!NameManager.instance) {
+      NameManager.instance = new NameManager();
+    }
+    return NameManager.instance;
+  }
+
+  generateUniquePlayerName(baseName: string, sessionId: string): string {
+    const normalizedName = baseName.trim().toLowerCase();
+    
+    if (!normalizedName) {
+      return this.generateUniquePlayerName('player', sessionId);
+    }
+
+    const currentCounter = this.nameCounters.get(normalizedName) || 0;
+    const newCounter = currentCounter + 1;
+    this.nameCounters.set(normalizedName, newCounter);
+
+    const uniqueName = newCounter === 1 ? normalizedName : `${normalizedName}-${newCounter}`;
+    this.sessionToName.set(sessionId, uniqueName);
+
+    return uniqueName;
+  }
+
+  releasePlayerName(sessionId: string): void {
+    const name = this.sessionToName.get(sessionId);
+    if (name) {
+      this.sessionToName.delete(sessionId);
+    }
+  }
+
+  getPlayerName(sessionId: string): string | undefined {
+    return this.sessionToName.get(sessionId);
+  }
+
+  getAllActivePlayers(): string[] {
+    return Array.from(this.sessionToName.values());
+  }
+}