chore(repo): update nx to 22.6.0-beta.1 (#34527)

Updating Nx from 22.5.0-beta.5 to 22.6.0-beta.1

Author: FrozenPandaz

package.json

@@ -85,29 +85,29 @@
     "@notionhq/client": "^2.2.15",
     "@nuxt/kit": "^3.10.0",
     "@nuxt/schema": "^3.10.0",
-    "@nx/angular": "22.5.0-beta.5",
+    "@nx/angular": "22.6.0-beta.1",
     "@nx/conformance": "4.0.0",
-    "@nx/cypress": "22.5.0-beta.5",
-    "@nx/devkit": "22.5.0-beta.5",
+    "@nx/cypress": "22.6.0-beta.1",
+    "@nx/devkit": "22.6.0-beta.1",
     "@nx/enterprise-cloud": "3.0.0",
-    "@nx/esbuild": "22.5.0-beta.5",
-    "@nx/eslint": "22.5.0-beta.5",
-    "@nx/eslint-plugin": "22.5.0-beta.5",
-    "@nx/gradle": "22.5.0-beta.5",
-    "@nx/jest": "22.5.0-beta.5",
-    "@nx/js": "22.5.0-beta.5",
+    "@nx/esbuild": "22.6.0-beta.1",
+    "@nx/eslint": "22.6.0-beta.1",
+    "@nx/eslint-plugin": "22.6.0-beta.1",
+    "@nx/gradle": "22.6.0-beta.1",
+    "@nx/jest": "22.6.0-beta.1",
+    "@nx/js": "22.6.0-beta.1",
     "@nx/key": "3.0.0",
-    "@nx/next": "22.5.0-beta.5",
-    "@nx/playwright": "22.5.0-beta.5",
+    "@nx/next": "22.6.0-beta.1",
+    "@nx/playwright": "22.6.0-beta.1",
     "@nx/powerpack-license": "3.0.0",
-    "@nx/react": "22.5.0-beta.5",
-    "@nx/rsbuild": "22.5.0-beta.5",
-    "@nx/rspack": "22.5.0-beta.5",
-    "@nx/storybook": "22.5.0-beta.5",
-    "@nx/vite": "22.5.0-beta.5",
-    "@nx/vitest": "22.5.0-beta.5",
-    "@nx/web": "22.5.0-beta.5",
-    "@nx/webpack": "22.5.0-beta.5",
+    "@nx/react": "22.6.0-beta.1",
+    "@nx/rsbuild": "22.6.0-beta.1",
+    "@nx/rspack": "22.6.0-beta.1",
+    "@nx/storybook": "22.6.0-beta.1",
+    "@nx/vite": "22.6.0-beta.1",
+    "@nx/vitest": "22.6.0-beta.1",
+    "@nx/web": "22.6.0-beta.1",
+    "@nx/webpack": "22.6.0-beta.1",
     "@phenomnomnominal/tsquery": "catalog:typescript",
     "@playwright/test": "^1.36.1",
     "@pmmmwh/react-refresh-webpack-plugin": "^0.5.7",
@@ -264,7 +264,7 @@
     "ng-packagr": "catalog:angular",
     "npm-package-arg": "11.0.1",
     "nuxt": "^3.10.0",
-    "nx": "22.5.0-beta.5",
+    "nx": "22.6.0-beta.1",
     "octokit": "^2.0.14",
     "open": "^8.4.0",
     "openai": "~4.3.1",