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

.gitignore

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+# Dependencies
+node_modules/
+*/node_modules/
+
+# Build outputs
+dist/
+build/
+*/dist/
+*/build/
+
+# Logs
+*.log
+npm-debug.log*
+yarn-debug.log*
+yarn-error.log*
+lerna-debug.log*
+
+# Environment variables
+.env
+.env.local
+.env.development.local
+.env.test.local
+.env.production.local
+
+# Cache directories
+.cache/
+.parcel-cache/
+*.tsbuildinfo
+
+# Editor directories and files
+.vscode/
+.idea/
+*.swp
+*.swo
+*~
+
+# OS generated files
+.DS_Store
+.DS_Store?
+._*
+.Spotlight-V100
+.Trashes
+ehthumbs.db
+Thumbs.db
+
+# Temporary files
+*.tmp
+*.temp