Bump beartype from 0.22.4 to 0.22.5 in /docs

Bumps [beartype](https://github.com/beartype/beartype) from 0.22.4 to 0.22.5.
- [Release notes](https://github.com/beartype/beartype/releases)
- [Changelog](https://github.com/beartype/beartype/blob/main/doc/RELEASE.rst)
- [Commits](beartype/beartype@v0.22.4...v0.22.5)

---
updated-dependencies:
- dependency-name: beartype
  dependency-version: 0.22.5
  dependency-type: direct:production
  update-type: version-update:semver-patch
...

Signed-off-by: dependabot[bot] <support@github.com>

Author: dependabot[bot]

docs/requirements.txt

@@ -6,5 +6,5 @@ sphinx-design==0.6.1
 sphinx-codeautolink==0.17.5
 sphinx_favicon==1.0.1
 # third-party utilities
-beartype==0.22.4
+beartype==0.22.5
 pydantic==2.12.3