[docs] Framework setup guides for Base UI

[mj12albert]

Extension of mui/material-ui#32979

Summary

I opened this issue to explore how the Base UI docs could dive deeper into the topic of "how to integrate Base UI with different things". Aside from CSS frameworks, we could provide guides on how to use Base with "web" frameworks (CRA, Vite, Next.js) to set up a more complete project.

This type of guide could complement our example repos well (mui/material-ui#36193), could help give them more visiblity and can maybe be positioned as a "How this example was made" guide for each one.

Here's a rough draft of a Base UI + Vite guide: https://deploy-preview-36918--material-ui.netlify.app/base/guides/vite/
⚠️ the content is a rough draft, not even seriously proof-read yet ⚠️

There are 3 separate sections for plain/module CSS, Tailwind, and MUI System – maybe we could use Tabs or similar to allow a reader to toggle between showing one of them at a time. (Or maybe this should be 3 separate guides).

Possible guides

• vite
• next.js
• remix
• gatsby
• Redwood JS

Benchmarks

• Tailwind
• Supabase
• Mantine