chore(deps): bump fastapi from 0.78.0 to 0.109.1 in /api

Bumps [fastapi](https://github.com/tiangolo/fastapi) from 0.78.0 to 0.109.1.
- [Release notes](https://github.com/tiangolo/fastapi/releases)
- [Commits](fastapi/fastapi@0.78.0...0.109.1)

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

Signed-off-by: dependabot[bot] <[email protected]>