fix: add link check tox env

tox.ini

@@ -3,21 +3,21 @@ description = Default tox environments list
 envlist =
     code-style
     doc-style
-    {py38,py39,py310,py311,py312}{,-coverage}
-    doc
+    {py39,py310,py311,py312}{,-coverage}
+    doc-{links,html}
 skip_missing_interpreters = true
 isolated_build = true
 isolated_build_env = build
 
 [testenv]
 description = Checks for project unit tests and coverage (if desired)
 basepython =
-    py39: python3.9
-    py310: python3.10
-    py311: python3.11
-    py312: python3.12
+    tests39: python3.9
+    tests310: python3.10
+    tests311: python3.11
+    tests312: python3.12
     py: python3
-    {style,reformat,doc}: python3
+    {code-style,doc-links,doc-html, tests}: python3
 setenv =
     PYTHONUNBUFFERED = yes
     coverage: PYTEST_EXTRA_ARGS = --cov=ansys.mapdl --cov-report=term --cov-report=xml:.cov/xml --cov-report=html:.cov/html
@@ -43,8 +43,14 @@ commands =
     vale sync --config="{toxinidir}/doc/.vale.ini"
     vale --config="{toxinidir}/doc/.vale.ini" "{toxinidir}/doc" 
 
-[testenv:doc]
+[testenv:doc-{links, html}]
 description = Check if documentation generates properly
+setenv =
+    links: BUILDER = linkcheck
+    html: BUILDER = html
+passenv =
+    BUILD_API
+    BUILD_EXAMPLES
 extras = doc
 commands =
-    sphinx-build -d "{toxworkdir}/doc_doctree" doc/source "{toxworkdir}/doc_out" --color -vW -bhtml
+    sphinx-build -d "{toxworkdir}/doc_doctree" doc/source "{toxinidir}/doc/_build/{env:BUILDER}" --color -vW -b {env:BUILDER} -j auto