Add Conferences and audio-only Rooms, plus mobile schedule icon.

Split town_hall into a Conferences sidebar flow and Spaces-style Rooms with host/speaker/listener roles; enforce audio-only LiveKit UI for rooms; show schedule icon on mobile meetings index.

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

tests/Feature/MeetWebTest.php

@@ -598,12 +598,11 @@ class MeetWebTest extends TestCase
         ]);
     }
 
-    public function test_host_can_create_town_hall_room(): void
+    public function test_host_can_create_conference(): void
     {
         $this->actingAs($this->user)
-            ->post('/meetings', [
+            ->post('/conferences', [
                 'title' => 'All hands',
-                'type' => 'town_hall',
                 'scheduled_at' => now()->addDay()->format('Y-m-d\TH:i'),
                 'duration_minutes' => 90,
             ])
@@ -615,6 +614,21 @@ class MeetWebTest extends TestCase
         ]);
     }
 
+    public function test_host_can_create_space_room(): void
+    {
+        $this->actingAs($this->user)
+            ->post('/rooms', [
+                'title' => 'Leadership space',
+                'invite_only' => true,
+            ])
+            ->assertRedirect();
+
+        $this->assertDatabaseHas('meet_rooms', [
+            'title' => 'Leadership space',
+            'type' => 'space',
+        ]);
+    }
+
     protected function createRoom(array $overrides = []): Room
     {
         return Room::create(array_merge([