Fix public display not showing queue stats and ticket data.

Server-render initial payload, poll with same-origin relative URLs, fall back to branch queues when none assigned, and improve contrast so stats remain visible if custom CSS is missing.

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

tests/Feature/DisplayVoiceTest.php

@@ -81,7 +81,31 @@ class DisplayVoiceTest extends TestCase
         $response = $this->getJson(route('qms.display.data', $screen->access_token));
 
         $response->assertOk()
-            ->assertJsonPath('announcements.0.message', 'Ticket A001, please proceed to Counter 1.');
+            ->assertJsonPath('announcements.0.message', 'Ticket A001, please proceed to Counter 1.')
+            ->assertJsonPath('waiting_count', 0)
+            ->assertJsonPath('now_serving.0.ticket_number', 'A001');
+    }
+
+    public function test_display_falls_back_to_branch_queues_when_none_assigned(): void
+    {
+        [$user, , $branch, $queue] = $this->setUpOrg();
+
+        $screen = DisplayScreen::create([
+            'owner_ref' => $user->public_id,
+            'organization_id' => $queue->organization_id,
+            'branch_id' => $branch->id,
+            'name' => 'Lobby',
+            'layout' => 'standard',
+            'service_queue_ids' => [],
+            'is_active' => true,
+        ]);
+
+        app(QueueEngine::class)->issueTicket($queue, $user->public_id);
+
+        $this->getJson(route('qms.display.data', $screen->access_token))
+            ->assertOk()
+            ->assertJsonPath('waiting_count', 1)
+            ->assertJsonPath('queues.0.name', 'Reception');
     }
 
     public function test_display_marks_announcement_played(): void