Bump pydantic from 2.4.2 to 2.11.1

Bumps [pydantic](https://github.com/pydantic/pydantic) from 2.4.2 to 2.11.1.
- [Release notes](https://github.com/pydantic/pydantic/releases)
- [Changelog](https://github.com/pydantic/pydantic/blob/main/HISTORY.md)
- [Commits](pydantic/pydantic@v2.4.2...v2.11.1)

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

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

Author: dependabot[bot]

requirements.txt

@@ -1,6 +1,6 @@
 pymatgen==2024.11.13
 emmet-core==0.84.5
-pydantic==2.4.2
+pydantic==2.11.1
 pydantic-core==2.10.1
 pydantic-settings==2.2.1
 typing-extensions==4.12.2