Add wallet balance widget to the profile menu (after Billing)

Wallet balance peek rendered as a menu row directly under Billing, backed by
a /wallet/balance endpoint (BillingClient) and guarded by Route::has. Also
opens Afia via a direct window event for reliability.

Co-Authored-By: Claude Opus 4.8 <noreply@anthropic.com>

resources/views/partials/search-screen.blade.php

@@ -14,7 +14,7 @@
         <div class="px-4 pb-3">
             <div class="relative">
                 <svg class="pointer-events-none absolute left-4 top-1/2 h-5 w-5 -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 x-ref="input"
+                <input data-ladill-search-input  x-ref="input"
                        type="text"
                        x-model="query"
                        @focus="onFocus()"
@@ -34,7 +34,7 @@
             <h1 class="text-2xl font-semibold text-slate-900">{{ $heading }}</h1>
             <div class="relative mt-3">
                 <svg class="pointer-events-none absolute left-4 top-1/2 h-5 w-5 -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 x-ref="input"
+                <input data-ladill-search-input  x-ref="input"
                        type="text"
                        x-model="query"
                        @focus="onFocus()"