Wire space listener email invites and restyle Meet index pages.

Enforce invite-only room access, validate invite emails on create, assign
attendee role for listener invitations, and add invite UI on the room show
page. Redesign meetings, rooms, conferences, and webinars indexes to match
the Events hero, stats cards, and icon list layout.

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

app/Http/Controllers/Meet/ConferenceController.php

@@ -3,6 +3,7 @@
 namespace App\Http\Controllers\Meet;
 
 use App\Http\Controllers\Controller;
+use App\Http\Controllers\Meet\Concerns\BuildsMeetIndexPage;
 use App\Http\Controllers\Meet\Concerns\ScopesToAccount;
 use App\Models\Member;
 use App\Models\Room;
@@ -19,7 +20,7 @@ use Illuminate\View\View;
 
 class ConferenceController extends Controller
 {
-    use ScopesToAccount;
+    use BuildsMeetIndexPage, ScopesToAccount;
 
     public function __construct(
         protected RoomService $rooms,
@@ -44,7 +45,10 @@ class ConferenceController extends Controller
 
         $conferences = $query->orderByDesc('scheduled_at')->paginate(20);
 
-        return view('meet.conferences.index', compact('conferences', 'organization'));
+        $stats = $this->meetIndexStats($request, $query, 'Conferences', 'Live now');
+        $items = $this->meetIndexItems($conferences, fn (Room $room) => route('meet.conferences.show', $room));
+
+        return view('meet.conferences.index', compact('conferences', 'organization', 'stats', 'items'));
     }
 
     public function create(Request $request): View