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>

pnpm-workspace.yaml

@@ -29,6 +29,7 @@ catalog:
   '@storybook/vue3-vite': ^9.1.1
   '@tailwindcss/vite': ^4.1.12
   '@trivago/prettier-plugin-sort-imports': ^5.2.0
+  '@types/eslint-plugin-tailwindcss': ^3.17.0
   '@types/fs-extra': ^11.0.4
   '@types/jsdom': ^21.1.7
   '@types/node': ^20.14.8
@@ -50,6 +51,7 @@ catalog:
   eslint-plugin-import-x: ^4.16.1
   eslint-plugin-prettier: ^5.5.4
   eslint-plugin-storybook: ^9.1.6
+  eslint-plugin-tailwindcss: 4.0.0-beta.0
   eslint-plugin-unused-imports: ^4.2.0
   eslint-plugin-vue: ^10.4.0
   firebase: ^11.6.0
@@ -95,6 +97,9 @@ catalog:
 
 cleanupUnusedCatalogs: true
 
+overrides:
+  '@types/eslint': '-'
+
 ignoredBuiltDependencies:
   - '@firebase/util'
   - protobufjs