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/Services/Meet/InvitationService.php

@@ -18,7 +18,9 @@ class InvitationService
      */
     public function inviteToRoom(Room $room, array $invites, User $host): void
     {
-        $normalized = collect($invites)->map(function ($invite) {
+        $defaultRole = $room->isSpace() ? 'attendee' : 'participant';
+
+        $normalized = collect($invites)->map(function ($invite) use ($defaultRole) {
             $email = trim((string) ($invite['email'] ?? ''));
             if ($email === '') {
                 return null;
@@ -29,7 +31,7 @@ class InvitationService
             return [
                 'email' => $email,
                 'name' => $invite['name'] ?? $invite['display_name'] ?? $user?->name,
-                'role' => $invite['role'] ?? 'participant',
+                'role' => $invite['role'] ?? $defaultRole,
                 'user_ref' => $invite['user_ref'] ?? $user?->ownerRef(),
             ];
         })->filter()->unique('email')->values()->all();