Fix workspace setup: move build tools to devDeps, remove stale files

- Move vite, tailwindcss, @tailwindcss/vite to devDependencies in all 3 apps
- Remove orphaned tsconfig.node.json from apps/game and apps/docs
- Remove leftover root src/ directory (duplicate module_bindings)

apps/docs/package.json

@@ -12,18 +12,18 @@
   "dependencies": {
     "@react-three/drei": "^9.122.0",
     "@react-three/fiber": "^8.17.10",
-    "@tailwindcss/vite": "^4.3.0",
     "react": "^18.3.1",
     "react-dom": "^18.3.1",
     "react-router-dom": "^6.30.1",
-    "tailwindcss": "^4.3.0",
-    "three": "^0.160.0",
-    "vite": "^7.0.0"
+    "three": "^0.160.0"
   },
   "devDependencies": {
+    "@tailwindcss/vite": "^4.3.0",
     "@types/react": "^18.3.23",
     "@types/react-dom": "^18.3.7",
     "@types/three": "^0.160.0",
-    "typescript": "^5.8.3"
+    "tailwindcss": "^4.3.0",
+    "typescript": "^5.8.3",
+    "vite": "^7.0.0"
   }
 }