chore(deps): bump the api-python group in /apps/api with 2 updates

Bumps the api-python group in /apps/api with 2 updates: [fastapi](https://github.com/tiangolo/fastapi) and [yt-dlp](https://github.com/yt-dlp/yt-dlp).


Updates `fastapi` from 0.111.0 to 0.111.1
- [Release notes](https://github.com/tiangolo/fastapi/releases)
- [Commits](fastapi/fastapi@0.111.0...0.111.1)

Updates `yt-dlp` from 2024.7.7 to 2024.7.9
- [Release notes](https://github.com/yt-dlp/yt-dlp/releases)
- [Changelog](https://github.com/yt-dlp/yt-dlp/blob/master/Changelog.md)
- [Commits](yt-dlp/yt-dlp@2024.07.07...2024.07.09)

---
updated-dependencies:
- dependency-name: fastapi
  dependency-type: direct:production
  update-type: version-update:semver-patch
  dependency-group: api-python
- dependency-name: yt-dlp
  dependency-type: direct:production
  update-type: version-update:semver-patch
  dependency-group: api-python
...

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