Enable execution of quickstart for better rendering (#672)

* ensure quickstart gets rendered with myst

* clear all outputs

* update rtd dependencies

---------

Co-authored-by: Altay Sansal <[email protected]>

Author: tasansal

docs/requirements.txt

@@ -1,8 +1,10 @@
+aiohttp==3.12.15
 autodoc-pydantic==2.2.0
 furo==2025.7.19
 linkify-it-py==2.0.3
+matplotlib==3.10.6
 myst-nb==1.3.0
 sphinx==8.2.3
-sphinx-click==6.0.0
+sphinx-click==6.1.0
 sphinx-copybutton==0.5.2
 sphinx-design==0.6.1