Bump beartype from 0.22.5 to 0.22.6 in /docs

Bumps [beartype](https://github.com/beartype/beartype) from 0.22.5 to 0.22.6.
- [Release notes](https://github.com/beartype/beartype/releases)
- [Changelog](https://github.com/beartype/beartype/blob/main/doc/RELEASE.rst)
- [Commits](beartype/beartype@v0.22.5...v0.22.6)

---
updated-dependencies:
- dependency-name: beartype
  dependency-version: 0.22.6
  dependency-type: direct:production
  update-type: version-update:semver-patch
...

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

Author: dependabot[bot]

docs/requirements.txt

@@ -4,7 +4,7 @@ apeye==1.4.1
 apeye-core==1.1.5
 autodocsumm==0.2.14
 babel==2.17.0
-beartype==0.22.5
+beartype==0.22.6
 beautifulsoup4==4.14.2
 CacheControl==0.14.3
 certifi==2025.10.5