chore: use turborepo for type checking (#64455)

packages/eslint-config/package.json

@@ -27,7 +27,7 @@
     "eslint-plugin-react": "7.37.4",
     "eslint-plugin-react-hooks": "4.6.0",
     "eslint-plugin-testing-library": "7.1.1",
-    "typescript": "5.7.3",
+    "typescript": "5.9.3",
     "typescript-eslint": "^8.47.0"
   }
 }

packages/shared/package.json

@@ -11,6 +11,7 @@
   },
   "scripts": {
     "test": "vitest",
+    "type-check": "tsc --noEmit",
     "compile": "tsdown --format cjs --format esm",
     "lint": "eslint --max-warnings 0"
   },