Chore(deps): Update fastapi requirement in /api/app (#378)

Updates the requirements on [fastapi](https://github.com/fastapi/fastapi) to permit the latest version.
- [Release notes](https://github.com/fastapi/fastapi/releases)
- [Commits](fastapi/fastapi@0.128.0...0.129.0)

---
updated-dependencies:
- dependency-name: fastapi
  dependency-version: 0.129.0
  dependency-type: direct:production
...

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api/app/requirements.txt

@@ -1,6 +1,6 @@
 uvicorn~=0.40.0
 ffmpeg-python~=0.2.0
-fastapi~=0.128.0
+fastapi~=0.129.0
 SQLAlchemy~=2.0.46
 pydantic~=2.12.5
 cryptography~=46.0.5