Lint: Add tailwind linter (#5984)

## Summary

Adds the [tailwind lint
plugin](https://github.com/francoismassart/eslint-plugin-tailwindcss/?tab=readme-ov-file#eslint-plugin-tailwindcss)
and fixes the currently fixable rules ([v4 is still in
beta](https://github.com/francoismassart/eslint-plugin-tailwindcss/?tab=readme-ov-file#about-tailwind-css-4-support)).

## Changes

- **What**: Enforces things like consistent class order, and eventually
can prohibit extra classes that could be utilities instead
- **Dependencies**: The plugin and its types

┆Issue is synchronized with this [Notion
page](https://www.notion.so/PR-5984-Lint-Add-tailwind-linter-2866d73d365081d89db0d998232533bb)
by [Unito](https://www.unito.io)

---------

Co-authored-by: GitHub Action <action@github.com>

vite.config.mts

@@ -5,7 +5,8 @@ import { FileSystemIconLoader } from 'unplugin-icons/loaders'
 import IconsResolver from 'unplugin-icons/resolver'
 import Icons from 'unplugin-icons/vite'
 import Components from 'unplugin-vue-components/vite'
-import { type UserConfig, defineConfig } from 'vite'
+import { defineConfig } from 'vite'
+import type { UserConfig } from 'vite'
 import { createHtmlPlugin } from 'vite-plugin-html'
 import vueDevTools from 'vite-plugin-vue-devtools'