[3.12] Docs: move sphinx-lint to pre-commit (GH-105750) (#105894)

Docs: move sphinx-lint to pre-commit (GH-105750)
(cherry picked from commit bc07c8f096)

Co-authored-by: Hugo van Kemenade <hugovk@users.noreply.github.com>

.github/workflows/doc.yml

@@ -51,8 +51,6 @@ jobs:
         cache-dependency-path: 'Doc/requirements.txt'
     - name: 'Install build dependencies'
       run: make -C Doc/ venv
-    - name: 'Check documentation'
-      run: make -C Doc/ check
     - name: 'Build HTML documentation'
       run: make -C Doc/ SPHINXOPTS="-q" SPHINXERRORHANDLING="-W --keep-going" html
 
@@ -82,8 +80,6 @@ jobs:
         make -C Doc/ PYTHON=../python SPHINXOPTS="-q -n -W --keep-going" html 2>&1
 
   # This build doesn't use problem matchers or check annotations
-  # It also does not run 'make check', as sphinx-lint is not installed into the
-  # environment.
   build_doc_oldest_supported_sphinx:
     name: 'Docs (Oldest Sphinx)'
     runs-on: ubuntu-latest