chore(deps): update nx monorepo to v22.1.0

Author: renovate[bot]

package.json

@@ -20,17 +20,17 @@
   "devDependencies": {
     "@changesets/cli": "^2.29.7",
     "@eslint/js": "^9.39.1",
-    "@nx/eslint": "22.0.2",
-    "@nx/vite": "22.0.2",
-    "@nx/web": "22.0.2",
+    "@nx/eslint": "22.1.0",
+    "@nx/vite": "22.1.0",
+    "@nx/web": "22.1.0",
     "@types/node": "^24.10.0",
     "@vitest/ui": "^4.0.8",
     "eslint": "^9.39.1",
     "eslint-config-prettier": "^10.1.8",
     "eslint-plugin-prettier": "^5.5.4",
     "globals": "^16.5.0",
     "jiti": "2.6.1",
-    "nx": "22.0.2",
+    "nx": "22.1.0",
     "prettier": "^3.6.2",
     "typescript": "^5.9.3",
     "typescript-eslint": "^8.46.3",