build(deps): bump fastapi from 0.135.3 to 0.136.0 in /state-manager

Bumps [fastapi](https://github.com/fastapi/fastapi) from 0.135.3 to 0.136.0.
- [Release notes](https://github.com/fastapi/fastapi/releases)
- [Commits](fastapi/fastapi@0.135.3...0.136.0)

---
updated-dependencies:
- dependency-name: fastapi
  dependency-version: 0.136.0
  dependency-type: direct:production
  update-type: version-update:semver-minor
...

Signed-off-by: dependabot[bot] <support@github.com>

Author: dependabot[bot]

state-manager/pyproject.toml

@@ -13,7 +13,7 @@ dependencies = [
     "beanie>=2.0.0",
     "croniter>=6.0.0",
     "cryptography>=45.0.5",
-    "fastapi>=0.116.1",
+    "fastapi>=0.136.0",
     "httpx>=0.28.1",
     "json-schema-to-pydantic>=0.4.1",
     "pytest-cov>=6.2.1",