build(deps): bump fastapi from 0.104.0 to 0.109.1 in /api (#322)

Bumps [fastapi](https://github.com/tiangolo/fastapi) from 0.104.0 to 0.109.1.
- [Release notes](https://github.com/tiangolo/fastapi/releases)
- [Commits](tiangolo/fastapi@0.104.0...0.109.1)

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

Signed-off-by: dependabot[bot] <support@github.com>
Co-authored-by: dependabot[bot] <49699333+dependabot[bot]@users.noreply.github.com>