Bump pydantic from 1.9.1 to 1.10.13 in /examples/fastapi-base (#90)

Bumps [pydantic](https://github.com/pydantic/pydantic) from 1.9.1 to 1.10.13.
- [Release notes](https://github.com/pydantic/pydantic/releases)
- [Changelog](https://github.com/pydantic/pydantic/blob/main/HISTORY.md)
- [Commits](pydantic/pydantic@v1.9.1...v1.10.13)

---
updated-dependencies:
- dependency-name: pydantic
  dependency-type: direct:production
...

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

examples/fastapi-base/requirements.txt

@@ -1,5 +1,5 @@
 fastapi==0.109.1
-pydantic==1.9.1
+pydantic==1.10.13
 starlette==0.36.2
 typing-extensions==4.2.0
 uvicorn==0.17.6