build(deps): bump fastapi from 0.121.3 to 0.122.0 in /state-manager (#558)

Bumps [fastapi](https://github.com/fastapi/fastapi) from 0.121.3 to 0.122.0.
- [Release notes](https://github.com/fastapi/fastapi/releases)
- [Commits](fastapi/fastapi@0.121.3...0.122.0)

---
updated-dependencies:
- dependency-name: fastapi
  dependency-version: 0.122.0
  dependency-type: direct:production
  update-type: version-update:semver-minor
...

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Author: dependabot[bot]