chore(deps-dev): bump typescript from 5.4.2 to 5.9.3 in /api

Bumps [typescript](https://github.com/microsoft/TypeScript) from 5.4.2 to 5.9.3.
- [Release notes](https://github.com/microsoft/TypeScript/releases)
- [Commits](microsoft/TypeScript@v5.4.2...v5.9.3)

---
updated-dependencies:
- dependency-name: typescript
  dependency-version: 5.9.3
  dependency-type: direct:development
  update-type: version-update:semver-minor
...

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

Author: dependabot[bot]

api/package-lock.json

@@ -36,6 +36,6 @@
     "axios": "1.13.6"
   },
   "devDependencies": {
-    "typescript": "^5.4.2"
+    "typescript": "^5.9.3"
   }
 }