feat: initialize Annual Gala Interactive System monorepo

- Set up pnpm workspace with 4 packages: shared, server, client-mobile, client-screen
- Implement Redis atomic voting with Lua scripts (HINCRBY + distributed lock)
- Add optimistic UI with IndexedDB queue for offline resilience
- Configure Socket.io with auto-reconnection (infinite retries)
- Separate mobile (Vant) and big screen (Pixi.js) dependencies

Tech stack:
- Frontend Mobile: Vue 3 + Vant + Socket.io-client
- Frontend Screen: Vue 3 + Pixi.js + GSAP
- Backend: Express + Socket.io + Redis + Prisma/MySQL

Co-Authored-By: Claude Opus 4.5 <noreply@anthropic.com>

packages/client-screen/tsconfig.json

@@ -0,0 +1,20 @@
+{
+  "extends": "../../tsconfig.base.json",
+  "compilerOptions": {
+    "target": "ES2020",
+    "useDefineForClassFields": true,
+    "module": "ESNext",
+    "lib": ["ES2020", "DOM", "DOM.Iterable"],
+    "moduleResolution": "bundler",
+    "jsx": "preserve",
+    "resolveJsonModule": true,
+    "isolatedModules": true,
+    "noEmit": true,
+    "paths": {
+      "@/*": ["./src/*"]
+    },
+    "types": ["vite/client"]
+  },
+  "include": ["src/**/*.ts", "src/**/*.tsx", "src/**/*.vue", "env.d.ts"],
+  "exclude": ["node_modules", "dist"]
+}