Bump rich from 13.5.3 to 13.6.0 in /.github/requirements (#9677)

Bumps [rich](https://github.com/Textualize/rich) from 13.5.3 to 13.6.0.
- [Release notes](https://github.com/Textualize/rich/releases)
- [Changelog](https://github.com/Textualize/rich/blob/master/CHANGELOG.md)
- [Commits](Textualize/rich@v13.5.3...v13.6.0)

---
updated-dependencies:
- dependency-name: rich
  dependency-type: indirect
  update-type: version-update:semver-minor
...

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

.github/requirements/publish-requirements.txt

@@ -494,9 +494,9 @@ rfc3986==2.0.0 \
     --hash=sha256:50b1502b60e289cb37883f3dfd34532b8873c7de9f49bb546641ce9cbd256ebd \
     --hash=sha256:97aacf9dbd4bfd829baad6e6309fa6573aaf1be3f6fa735c8ab05e46cecb261c
     # via twine
-rich==13.5.3 \
-    --hash=sha256:87b43e0543149efa1253f485cd845bb7ee54df16c9617b8a893650ab84b4acb6 \
-    --hash=sha256:9257b468badc3d347e146a4faa268ff229039d4c2d176ab0cffb4c4fbc73d5d9
+rich==13.6.0 \
+    --hash=sha256:2b38e2fe9ca72c9a00170a1a2d20c63c790d0e10ef1fe35eba76e1e7b1d7d245 \
+    --hash=sha256:5c14d22737e6d5084ef4771b62d5d4363165b403455a30a1c8ca39dc7b644bef
     # via twine
 secretstorage==3.3.3 \
     --hash=sha256:2403533ef369eca6d2ba81718576c5e0f564d5cca1b58f73a8b23e7d4eeebd77 \