Style: Standardize icon use Part 1 (#5947)

## Summary

Remove the mix of class based and component style icons in favor of just
[classes](https://iconify.design/docs/usage/css/tailwind/tailwind4/#basic-usage).

## Changes

- **What**: Migrate existing lucide icons

## Review Focus

What differs between the icons before and now?

┆Issue is synchronized with this [Notion
page](https://www.notion.so/PR-5947-Style-Standardize-icon-use-Part-1-2846d73d365081bfa66ceb6bdaa9ff02)
by [Unito](https://www.unito.io)

---------

Co-authored-by: github-actions <github-actions@github.com>

src/platform/assets/components/AssetGrid.vue

@@ -27,7 +27,7 @@
         )
       "
     >
-      <i-lucide:search class="size-10 mb-4" />
+      <i class="icon-[lucide--search] size-10 mb-4" />
       <h3 class="text-lg font-medium mb-2">
         {{ $t('assetBrowser.noAssetsFound') }}
       </h3>
@@ -39,7 +39,8 @@
       v-if="loading"
       class="col-span-full flex items-center justify-center py-16"
     >
-      <i-lucide:loader
+      <i
+        class="icon-[lucide--loader]"
         :class="
           cn('size-6 animate-spin', 'text-stone-300 dark-theme:text-stone-200')
         "