build(deps): bump pydantic-settings in /api in the pydantic group

Bumps the pydantic group in /api with 1 update: [pydantic-settings](https://github.com/pydantic/pydantic-settings).


Updates `pydantic-settings` from 2.6.1 to 2.7.0
- [Release notes](https://github.com/pydantic/pydantic-settings/releases)
- [Commits](pydantic/pydantic-settings@v2.6.1...v2.7.0)

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

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

api/requirements.txt

@@ -2,6 +2,6 @@ apscheduler==3.11.0
 databases[mysql]
 fastapi[standard]==0.115.6
 pydantic_core==2.27.1
-pydantic-settings==2.6.1
+pydantic-settings==2.7.0
 sentry-sdk[fastapi]==2.19.2
 sqlmodel==0.0.22