[renovate] Update nx dependencies to v22

GitOrigin-RevId: 6ab1e47194e9ebdc27e5a1c51683df390578cbeb

Author: renovate[bot]

package.json

@@ -115,16 +115,16 @@
     "@emotion/babel-plugin": "11.13.5",
     "@emotion/jest": "11.13.0",
     "@jupyterlab/nbformat": "4.4.5",
-    "@nx/devkit": "21.6.5",
-    "@nx/eslint": "21.6.5",
-    "@nx/eslint-plugin": "21.6.5",
-    "@nx/jest": "21.6.5",
-    "@nx/js": "21.6.5",
-    "@nx/playwright": "21.6.5",
-    "@nx/plugin": "21.6.5",
-    "@nx/react": "21.6.5",
-    "@nx/vite": "21.6.5",
-    "@nx/web": "21.6.5",
+    "@nx/devkit": "22.0.2",
+    "@nx/eslint": "22.0.2",
+    "@nx/eslint-plugin": "22.0.2",
+    "@nx/jest": "22.0.2",
+    "@nx/js": "22.0.2",
+    "@nx/playwright": "22.0.2",
+    "@nx/plugin": "22.0.2",
+    "@nx/react": "22.0.2",
+    "@nx/vite": "22.0.2",
+    "@nx/web": "22.0.2",
     "@playwright/test": "1.54.1",
     "@rollup/plugin-replace": "6.0.2",
     "@sprig-technologies/sprig-browser": "2.34.0",
@@ -197,7 +197,7 @@
     "jest-slow-test-reporter": "1.0.0",
     "jest-watch-typeahead": "3.0.1",
     "msw": "2.4.9",
-    "nx": "21.6.5",
+    "nx": "22.0.2",
     "nyc": "17.1.0",
     "openapi-types": "12.1.3",
     "otpauth": "9.4.0",