build(deps): bump fastapi from 0.121.1 to 0.121.2 in /state-manager (#546)

Bumps [fastapi](https://github.com/fastapi/fastapi) from 0.121.1 to 0.121.2.
- [Release notes](https://github.com/fastapi/fastapi/releases)
- [Commits](fastapi/fastapi@0.121.1...0.121.2)

---
updated-dependencies:
- dependency-name: fastapi
  dependency-version: 0.121.2
  dependency-type: direct:production
  update-type: version-update:semver-patch
...

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