feat(web): frontend foundation — Tailwind terminal theme, Query, Router, Zustand + live booth screen

Add tailwindcss (Bloomberg-terminal theme in index.css), @tanstack/react-query +
react-router, zustand, and Radix primitives. Router with role-guarded routes;
QueryClient wrapping the existing apiFetch; a small Zustand live store fed by a
/api/ws client that invalidates Query caches. Booth screen: live occupancy gauge
+ streaming entry/exit/payment feed. Vite proxies the WS upgrade.

Note: BoothScreen references the pay/exit modal + active-sessions panel added in
following commits; final HEAD builds.

apps/web/package.json

@@ -12,13 +12,22 @@
   },
   "dependencies": {
     "@parking/shared": "workspace:*",
+    "@radix-ui/react-dialog": "^1.1.17",
+    "@radix-ui/react-dropdown-menu": "^2.1.18",
+    "@radix-ui/react-tabs": "^1.1.15",
+    "@tanstack/react-query": "^5.101.0",
+    "@tanstack/react-router": "^1.170.16",
     "react": "19.2.7",
-    "react-dom": "19.2.7"
+    "react-dom": "19.2.7",
+    "zustand": "^5.0.14"
   },
   "devDependencies": {
+    "@tailwindcss/vite": "^4.3.1",
+    "@tanstack/react-router-devtools": "^1.167.0",
     "@types/react": "19.2.17",
     "@types/react-dom": "19.2.3",
     "@vitejs/plugin-react": "6.0.2",
+    "tailwindcss": "^4.3.1",
     "typescript": "6.0.3",
     "vite": "8.0.16"
   }