Bump pydantic-settings from 2.6.0 to 2.6.1 (#1042)

Bumps [pydantic-settings](https://github.com/pydantic/pydantic-settings) from 2.6.0 to 2.6.1.
- [Release notes](https://github.com/pydantic/pydantic-settings/releases)
- [Commits](pydantic/pydantic-settings@v2.6.0...v2.6.1)

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

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

Author: dependabot[bot]

pyproject.toml

@@ -109,7 +109,7 @@ strict = [
     "openmm-mdanalysis-reporter==0.1.0",
     "openmm==8.1.1",
     "phonopy==2.27.0",
-    "pydantic-settings==2.6.0",
+    "pydantic-settings==2.6.1",
     "pydantic==2.9.2",
     "pymatgen-analysis-defects==2024.7.19",
     "pymatgen==2024.10.3",