build(deps): bump pydantic from 2.8.2 to 2.10.2 in /api

Bumps [pydantic](https://github.com/pydantic/pydantic) from 2.8.2 to 2.10.2.
- [Release notes](https://github.com/pydantic/pydantic/releases)
- [Changelog](https://github.com/pydantic/pydantic/blob/main/HISTORY.md)
- [Commits](pydantic/pydantic@v2.8.2...v2.10.2)

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

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

api/requirements.txt

@@ -1,5 +1,5 @@
 fastapi==0.111.0
-pydantic==2.8.2
+pydantic==2.10.2
 pydantic_core==2.20.1
 pydantic-settings==2.3.4
 uvicorn==0.30.1