Add in-app Care Queue Engine (Phase 1 MVP).

Issue, call-next, serve, and complete tickets locally so Care Pro no longer
needs QUEUE_API_* when CARE_QUEUE_DRIVER=native (default). Remote Ladill Queue
remains available for cutover; PHPUnit keeps the remote driver for existing fakes.

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

app/Http/Controllers/Care/SettingsController.php

@@ -144,7 +144,7 @@ class SettingsController extends Controller
         $settings[AppointmentPatientNotifier::SETTING_VIDEO_SMS] = $request->boolean('notify_video_scheduled_sms');
         $settings[AppointmentPatientNotifier::SETTING_VIDEO_EMAIL] = $request->boolean('notify_video_scheduled_email');
 
-        if ($wantsQueue && $queue->configured()) {
+        if ($wantsQueue && config('care.queue.driver', 'native') !== 'native' && $queue->configured()) {
             $branch = Branch::owned($owner)->where('organization_id', $organization->id)->orderBy('name')->first();
             try {
                 $queue->enable($owner, $organization->name, $branch?->name);
@@ -186,9 +186,9 @@ class SettingsController extends Controller
             }
         }
 
-        // Queue department sync + waiting-ticket backfill can take minutes over HTTP.
-        // Never block the settings response on it — run after the redirect goes out.
-        if ($wantsQueue && $queue->configured()) {
+        // Queue department sync + waiting-ticket backfill — run after the redirect.
+        $queueReady = config('care.queue.driver', 'native') === 'native' || $queue->configured();
+        if ($wantsQueue && $queueReady) {
             $organizationId = (int) $organization->id;
             $backfillTickets = $queueJustEnabled;
             dispatch(function () use ($organizationId, $owner, $backfillTickets) {