[Enh]: Adopt UV in CI/CD

[FBruzzesi]

We would like to learn about your use case. For example, if this feature is needed to adopt Narwhals in an open source project, could you please enter the link to it below?

n.a.

Please describe the purpose of the new feature or describe the problem to solve.

We can get faster CI on library installation, especially for Windows the installation boost is quite significant

Suggest a solution if possible.

This is quite straightforward, I made an attempt on my fork: #1

If this is of interest I will open the same here.

If you have tried alternatives, please describe them below.

No response

Additional information that may help us understand your needs.

I removed caching after reading about it in the setup-python issue

Extra: I renamed the workflows as most of them appear as "ci" 🥲

[MarcoGorelli]

yesss, thanks!