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>

src/components/dialog/content/ApiNodesSignInContent.vue

@@ -1,16 +1,16 @@
 <template>
-  <div class="flex flex-col gap-4 max-w-96 h-110 p-2">
-    <div class="text-2xl font-medium mb-2">
+  <div class="flex h-110 max-w-96 flex-col gap-4 p-2">
+    <div class="mb-2 text-2xl font-medium">
       {{ t('apiNodesSignInDialog.title') }}
     </div>
 
-    <div class="text-base mb-4">
+    <div class="mb-4 text-base">
       {{ t('apiNodesSignInDialog.message') }}
     </div>
 
     <ApiNodesList :node-names="apiNodeNames" />
 
-    <div class="flex justify-between items-center">
+    <div class="flex items-center justify-between">
       <Button :label="t('g.learnMore')" link @click="handleLearnMoreClick" />
       <div class="flex gap-2">
         <Button