How to upgrade to latest Tailwind CSS and PostCSS?

[hmaesta]

After upgrading to latest Tailwind CSS (^2.0.1), server is crashing:

PostCSS plugin tailwindcss requires PostCSS 8.
Migration guide for end-users:
https://github.com/postcss/postcss/wiki/PostCSS-8-for-end-users

So, as described on the migration guide, I updated rollup-plugin-postcss to latest (^4.0.0) and added postcss (^8.2.0) as dependency.

But server still crashes...

The "fileName" or "name" properties of emitted files must be strings that are neither absolute nor relative paths and do not contain invalid characters, received "./static/global.css".
✔ service worker (28ms)
internal/modules/cjs/loader.js:796
throw err;
^

Error: Cannot find module '/Users/hugo/Localhost/sapper-tailwindcss/sapper/dev/server/server.js'

Any suggestion?