chore(deps): bump the patches group with 3 updates (#709)

Bumps the patches group with 3 updates: [@radix-ui/react-dialog](https://github.com/radix-ui/primitives), [ai](https://github.com/vercel/ai) and [posthog-js](https://github.com/PostHog/posthog-js).


Updates `@radix-ui/react-dialog` from 1.1.0 to 1.1.1
- [Changelog](https://github.com/radix-ui/primitives/blob/main/release-process.md)
- [Commits](https://github.com/radix-ui/primitives/commits)

Updates `ai` from 3.2.1 to 3.2.2
- [Release notes](https://github.com/vercel/ai/releases)
- [Commits](https://github.com/vercel/ai/compare/[email protected]@3.2.2)

Updates `posthog-js` from 1.139.4 to 1.139.8
- [Release notes](https://github.com/PostHog/posthog-js/releases)
- [Changelog](https://github.com/PostHog/posthog-js/blob/main/CHANGELOG.md)
- [Commits](PostHog/posthog-js@v1.139.4...v1.139.8)

---
updated-dependencies:
- dependency-name: "@radix-ui/react-dialog"
  dependency-type: direct:production
  update-type: version-update:semver-patch
  dependency-group: patches
- dependency-name: ai
  dependency-type: direct:production
  update-type: version-update:semver-patch
  dependency-group: patches
- dependency-name: posthog-js
  dependency-type: direct:production
  update-type: version-update:semver-patch
  dependency-group: patches
...

Signed-off-by: dependabot[bot] <[email protected]>
Co-authored-by: dependabot[bot] <49699333+dependabot[bot]@users.noreply.github.com>

package.json

@@ -20,7 +20,7 @@
     "@hookform/resolvers": "^3.3.4",
     "@radix-ui/react-accordion": "^1.1.2",
     "@radix-ui/react-avatar": "^1.0.4",
-    "@radix-ui/react-dialog": "^1.1.0",
+    "@radix-ui/react-dialog": "^1.1.1",
     "@radix-ui/react-dropdown-menu": "^2.0.6",
     "@radix-ui/react-label": "^2.0.2",
     "@radix-ui/react-separator": "^1.0.3",
@@ -30,7 +30,7 @@
     "@tanstack/react-table": "^8.16.0",
     "@vercel/og": "^0.6.2",
     "@vidstack/react": "^0.6.15",
-    "ai": "^3.2.1",
+    "ai": "^3.2.2",
     "autoprefixer": "^10.4.19",
     "class-variance-authority": "^0.7.0",
     "clsx": "^2.1.1",
@@ -45,7 +45,7 @@
     "nextra-theme-docs": "^2.13.4",
     "openai-edge": "^1.2.2",
     "postcss": "^8.4.38",
-    "posthog-js": "^1.139.4",
+    "posthog-js": "^1.139.8",
     "react": "^18.3.1",
     "react-dom": "^18.3.1",
     "react-hook-form": "^7.52.0",