Bump fastapi from 0.111.0 to 0.111.1 in /backend (#51)

Bumps [fastapi](https://github.com/tiangolo/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)

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

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

Author: dependabot[bot]

backend/poetry.lock

@@ -8,7 +8,7 @@ packages = [{include = "quotes"}]
 
 [tool.poetry.dependencies]
 python = "^3.11"
-fastapi = "^0.111.0"
+fastapi = "^0.111.1"
 uvicorn = "^0.30.1"
 pydantic = "^2.8.2"
 pydantic-settings = "^2.3.4"