Wire Ladill domain picker and purchase modal into hosting flows.

Use the Domains API for owned domains across panel, account, and order forms, with an embedded iframe purchase modal instead of redirecting to domains.ladill.com.

Co-authored-by: Cursor <cursoragent@cursor.com>

resources/views/partials/topbar.blade.php

@@ -13,7 +13,7 @@
         <div class="relative hidden w-full max-w-md lg:block" x-data="topbarSearch({ searchUrl: @js(route('hosting.search')) })" @click.outside="open = false" @keydown.escape.window="open = false">
             <div class="relative">
                 <svg class="pointer-events-none absolute left-3 top-1/2 h-4 w-4 -translate-y-1/2 text-slate-400" fill="none" stroke="currentColor" stroke-width="2" viewBox="0 0 24 24"><path stroke-linecap="round" stroke-linejoin="round" d="m21 21-5.2-5.2m0 0A7.5 7.5 0 1 0 5.2 5.2a7.5 7.5 0 0 0 10.6 10.6Z"/></svg>
-                <input type="text" x-model="query" @focus="onFocus()" @input.debounce.200ms="search()" @keydown.arrow-down.prevent="moveDown()" @keydown.arrow-up.prevent="moveUp()" @keydown.enter.prevent="go()" placeholder="Search hosting…"
+                <input data-ladill-search-input  type="text" x-model="query" @focus="onFocus()" @input.debounce.200ms="search()" @keydown.arrow-down.prevent="moveDown()" @keydown.arrow-up.prevent="moveUp()" @keydown.enter.prevent="go()" placeholder="Search hosting…"
                        class="w-full rounded-xl border border-slate-200 bg-slate-50 py-2 pl-9 pr-3 text-sm text-slate-700 placeholder-slate-400 transition focus:border-indigo-300 focus:bg-white focus:ring-2 focus:ring-indigo-100 focus:outline-none">
             </div>
             <div x-show="open && (results.length > 0 || (query.length >= 2 && !loading))" x-cloak x-transition.opacity.duration.150ms class="absolute left-0 top-full z-30 mt-1.5 w-full overflow-hidden rounded-xl border border-slate-200 bg-white shadow-lg">