chore(deps): bump typescript in /examples/servers/dog-facts

Bumps [typescript](https://github.com/microsoft/TypeScript) from 5.8.3 to 5.9.2.
- [Release notes](https://github.com/microsoft/TypeScript/releases)
- [Changelog](https://github.com/microsoft/TypeScript/blob/main/azure-pipelines.release-publish.yml)
- [Commits](microsoft/TypeScript@v5.8.3...v5.9.2)

---
updated-dependencies:
- dependency-name: typescript
  dependency-version: 5.9.2
  dependency-type: direct:development
  update-type: version-update:semver-minor
...

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

Author: dependabot[bot]

examples/servers/dog-facts/package-lock.json

@@ -12,7 +12,7 @@
     "@types/node": "24.1.0",
     "aws-cdk": "2.1020.2",
     "cdk-nag": "^2.36.50",
-    "typescript": "~5.8.3"
+    "typescript": "~5.9.2"
   },
   "dependencies": {
     "@types/aws-lambda": "^8.10.149",