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/setting/UserPanel.vue

@@ -1,7 +1,7 @@
 <template>
   <TabPanel value="User" class="user-settings-container h-full">
-    <div class="flex flex-col h-full">
-      <h2 class="text-2xl font-bold mb-2">{{ $t('userSettings.title') }}</h2>
+    <div class="flex h-full flex-col">
+      <h2 class="mb-2 text-2xl font-bold">{{ $t('userSettings.title') }}</h2>
       <Divider class="mb-3" />
 
       <!-- Normal User Panel -->
@@ -35,7 +35,7 @@
           <h3 class="font-medium">
             {{ $t('userSettings.provider') }}
           </h3>
-          <div class="text-muted flex items-center gap-1">
+          <div class="flex items-center gap-1 text-muted">
             <i :class="providerIcon" />
             {{ providerName }}
             <Button
@@ -54,7 +54,7 @@
 
         <ProgressSpinner
           v-if="loading"
-          class="w-8 h-8 mt-4"
+          class="mt-4 h-8 w-8"
           style="--pc-spinner-color: #000"
         />
         <div v-else class="mt-4 flex flex-col gap-2">