[documentation] autogenerate pretty formatting of docs

[suzannejin]

Goal: generate pretty docs using uv. please check: https://github.com/pawamoy/copier-uv
thanks to @kenibrewer recommendation!

• add template
• pass make check-quality, which checks the code quality
• pass make check-docs, which checks if the documentation builds correctly
• pass make check-type, which check if the code is correctly typed
• convert unittest into pytest
• pass make test