ui: drop the desktop search box from the header

Matches Ladill Stock, whose header is now just AI, notifications, launcher and
the account menu. This partial is byte-identical to Stock's again.

Only the desktop block goes. The mobile full-screen search (partials/search-screen)
is untouched and still reached from the bottom nav, the `/` shortcut still focuses
page-level search inputs, and the search route and controller are left in place —
the Alpine topbarSearch component is still used by the mobile screen, so none of
it is dead code.

Ladill Webmail deliberately keeps its header search: it is the only desktop route
into mail search, and dropping it there would remove a core function rather than
tidy a header.

resources/views/partials/topbar-qr.blade.php

@@ -13,52 +13,6 @@
             <svg class="h-6 w-6" fill="none" stroke="currentColor" viewBox="0 0 24 24"><path stroke-linecap="round" stroke-linejoin="round" stroke-width="2" d="M4 6h16M4 12h16M4 18h16"/></svg>
         </button>
         @include('partials.mobile-topbar-title')
-        <div class="relative hidden min-w-0 flex-1 max-w-md lg:block"
-             x-data="topbarSearch({ searchUrl: @js(route('qr.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 21-5.197-5.197m0 0A7.5 7.5 0 1 0 5.196 5.196a7.5 7.5 0 0 0 10.607 10.607Z"/></svg>
-                <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 QR codes…"
-                       class="w-full rounded-xl border border-slate-200 bg-slate-50 py-2 pl-9 pr-10 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">
-                <kbd class="pointer-events-none absolute right-3 top-1/2 hidden -translate-y-1/2 rounded-md border border-slate-200 bg-white px-1.5 py-0.5 text-[10px] font-medium text-slate-400 sm:inline-block">/</kbd>
-            </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">
-                <template x-if="loading">
-                    <div class="px-4 py-3 text-center text-xs text-slate-400">Searching…</div>
-                </template>
-                <template x-if="!loading && results.length === 0 && query.length >= 2">
-                    <div class="px-4 py-3 text-center text-xs text-slate-500">No results for "<span x-text="query" class="font-medium"></span>"</div>
-                </template>
-                <template x-if="!loading && results.length > 0">
-                    <ul class="max-h-72 overflow-y-auto py-1">
-                        <template x-for="(item, idx) in results" :key="item.url">
-                            <li>
-                                <a :href="item.url"
-                                   :class="idx === active ? 'bg-indigo-50 text-indigo-700' : 'text-slate-700'"
-                                   @mouseenter="active = idx"
-                                   class="flex items-center gap-3 px-4 py-2.5 text-sm transition hover:bg-indigo-50">
-                                    <span class="min-w-0 flex-1">
-                                        <span class="block truncate font-medium leading-tight" x-text="item.title"></span>
-                                        <span class="block truncate text-xs text-slate-400" x-text="item.subtitle"></span>
-                                    </span>
-                                </a>
-                            </li>
-                        </template>
-                    </ul>
-                </template>
-            </div>
-        </div>
     </div>
 
         <div class="flex items-center gap-3">

resources/views/public/qr/landing.blade.php

@@ -1217,7 +1217,10 @@
             <div class="absolute inset-0" style="background: linear-gradient(145deg, {{ $aColor }}, {{ $aColor }}99);"></div>
         @endif
         <div class="absolute inset-x-0 bottom-0 px-5 pb-12 sm:pb-14">
-            <div class="mx-auto max-w-md text-white">
+            {{-- Mobile keeps the centred max-w-md column (which fills the screen
+                 anyway). From sm up the cover is far wider than that column, so the
+                 title is released to the left edge instead of floating mid-banner. --}}
+            <div class="mx-auto max-w-md text-white sm:mx-0">
                 <h1 class="text-2xl font-bold">{{ $aName }}</h1>
                 @if($aTagline)
                     <p class="mt-1 truncate text-sm text-white/90">{{ $aTagline }}</p>