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

Bumps [typescript](https://github.com/microsoft/TypeScript) from 5.9.3 to 6.0.2.
- [Release notes](https://github.com/microsoft/TypeScript/releases)
- [Commits](microsoft/TypeScript@v5.9.3...v6.0.2)

---
updated-dependencies:
- dependency-name: typescript
  dependency-version: 6.0.2
  dependency-type: direct:development
  update-type: version-update:semver-major
...

Signed-off-by: dependabot[bot] <support@github.com>

Author: dependabot[bot]

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

@@ -13,7 +13,7 @@
     "@types/node": "25.5.0",
     "aws-cdk": "2.1111.0",
     "cdk-nag": "^2.37.55",
-    "typescript": "~5.9.3"
+    "typescript": "~6.0.2"
   },
   "dependencies": {
     "aws-cdk-lib": "2.245.0",