chore(task6): complete turborepo migration verification

apps/admin/package.json

@@ -1,12 +1,13 @@
 {
   "name": "@gongxue/admin",
-  "private": true,
   "version": "0.0.0",
+  "private": true,
   "type": "module",
   "scripts": {
     "dev": "vite",
     "build": "tsc -b && vite build",
     "lint": "oxlint --config ../../oxlint.config.ts",
+    "typecheck": "tsc -b --noEmit",
     "format": "oxfmt",
     "preview": "vite preview"
   },
@@ -23,12 +24,12 @@
     "tslib": "^2.8.1"
   },
   "devDependencies": {
+    "@gongxue/typescript-config": "*",
     "@types/node": "^24.12.2",
     "@types/react": "^19.2.14",
     "@types/react-dom": "^19.2.3",
     "@vitejs/plugin-react": "^6.0.1",
     "typescript": "~6.0.2",
-    "vite": "^8.0.9",
-    "@gongxue/typescript-config": "*"
+    "vite": "^8.0.9"
   }
 }