PYTHON-4148 Update documentation dependencies (mongodb#1476)

Author: blink1073

doc/docs-requirements.txt

@@ -1,5 +1,5 @@
-sphinx>=5.3,<7
-sphinx_rtd_theme~=0.5
-readthedocs-sphinx-search~=0.1
-sphinxcontrib-shellcheck~=1.1
-furo==2022.12.7
+sphinx>=5.3,<8
+sphinx_rtd_theme>=2,<3
+readthedocs-sphinx-search~=0.3
+sphinxcontrib-shellcheck>=1,<2
+furo==2023.9.10