Bump @octokit/rest from 21.1.1 to 22.0.0 in /tools/integration

Bumps [@octokit/rest](https://github.com/octokit/rest.js) from 21.1.1 to 22.0.0.
- [Release notes](https://github.com/octokit/rest.js/releases)
- [Commits](octokit/rest.js@v21.1.1...v22.0.0)

---
updated-dependencies:
- dependency-name: "@octokit/rest"
  dependency-version: 22.0.0
  dependency-type: direct:production
  update-type: version-update:semver-major
...

Signed-off-by: dependabot[bot] <[email protected]>

Author: dependabot[bot]

tools/integration/package-lock.json

@@ -33,7 +33,7 @@
     "typescript": "^5.8.3"
   },
   "dependencies": {
-    "@octokit/rest": "^21.1.1",
+    "@octokit/rest": "^22.0.0",
     "async-retry": "^1.3.3"
   }
 }