⬆ Bump pydantic-settings from 2.12.0 to 2.13.1 (#1771)

⬆ Bump pydantic-settings from 2.12.0 to 2.13.1 (#1771)

Bumps [pydantic-settings](https://github.com/pydantic/pydantic-settings) from 2.12.0 to 2.13.1.
- [Release notes](https://github.com/pydantic/pydantic-settings/releases)
- [Commits](https://github.com/pydantic/pydantic-settings/compare/v2.12.0...v2.13.1)

---
updated-dependencies:
- dependency-name: pydantic-settings
  dependency-version: 2.13.1
  dependency-type: direct:development
  update-type: version-update:semver-minor
...

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