Add mobile and desktop search for Events.

Introduce a dedicated /search page, wire the bottom nav and topbar to it, and expose JSON results for live lookup of events and programmes.

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

tests/Feature/SearchTest.php

@@ -0,0 +1,50 @@
+<?php
+
+namespace Tests\Feature;
+
+use App\Models\QrCode;
+use App\Models\User;
+use Illuminate\Foundation\Testing\RefreshDatabase;
+use Illuminate\Support\Str;
+use Tests\TestCase;
+
+class SearchTest extends TestCase
+{
+    use RefreshDatabase;
+
+    private function user(): User
+    {
+        return User::create(['public_id' => (string) Str::uuid(), 'name' => 'A', 'email' => 'a+'.uniqid().'@x.com']);
+    }
+
+    public function test_user_can_search_owned_event_by_label(): void
+    {
+        $user = $this->user();
+
+        QrCode::query()->create([
+            'user_id' => $user->id,
+            'short_code' => 'summit',
+            'type' => QrCode::TYPE_EVENT,
+            'label' => 'NextGen Summit',
+            'destination_url' => 'https://example.com',
+            'is_active' => true,
+        ]);
+
+        $response = $this->actingAs($user)
+            ->getJson(route('events.search', ['q' => 'NextGen']));
+
+        $response->assertOk();
+        $response->assertJsonPath('results.0.type', 'event');
+        $response->assertJsonPath('results.0.title', 'NextGen Summit');
+    }
+
+    public function test_search_page_renders_for_authenticated_user(): void
+    {
+        $user = $this->user();
+
+        $this->actingAs($user)
+            ->get(route('events.search'))
+            ->assertOk()
+            ->assertSee('Find events and programmes', false);
+    }
+}