🚀 Feature: Support Remix as a build tool (opt-in Block)

### Feature Request Checklist

- [x] I have pulled the latest `main` branch of the repository.
- [x] I have [searched for related issues](https://github.com/JoshuaKGoldberg/create-typescript-app/issues?q=is%3Aissue) and found none that matched my issue.

### Overview

Similar to #1917 + #2156 + the other builders mentioned in https://github.com/JoshuaKGoldberg/create-typescript-app/issues/1917#issuecomment-2779580434: some projects built on CTA use [Remix](https://remix.run/) as a builder. I'd like to have an opt-in `blockRemix` Block provided that provides the basic building blocks of a CTA-managed Vite config and `package.json` scripts.

### Additional Info

I think this should be blocked on #1917: Remix now is a combo of react-router and Vite. It might end up being that `blockRemix` needs to be used on top of `blockVite` or something like that.

For a reference of a CTA + Remix repository, see: https://github.com/JoshuaKGoldberg/github-username-to-emails-site

🎁