Bump pydantic-settings from 2.2.1 to 2.8.1

Bumps [pydantic-settings](https://github.com/pydantic/pydantic-settings) from 2.2.1 to 2.8.1.
- [Release notes](https://github.com/pydantic/pydantic-settings/releases)
- [Commits](pydantic/pydantic-settings@v2.2.1...v2.8.1)

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

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

Author: dependabot[bot]

requirements.txt

@@ -2,7 +2,7 @@ pymatgen==2024.11.13
 emmet-core==0.84.5
 pydantic==2.4.2
 pydantic-core==2.10.1
-pydantic-settings==2.2.1
+pydantic-settings==2.8.1
 typing-extensions==4.12.2
 monty==2025.1.9
 numpy==1.26.1