Speed up Queue board loads by dropping sync and gate side effects.

Stop issuing missing tickets and refreshing financial gates on every GET;
eager-load advances, cap board rows, and cache specialty department maps.

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

resources/views/care/queue/index.blade.php

@@ -1,6 +1,6 @@
 @php
     $specialtyLabel = $specialtyLabel ?? null;
-    $queueBridge = app(\App\Services\Care\CareQueueBridge::class);
+    $specialtyDepartmentMap = $specialtyDepartmentMap ?? [];
 @endphp
 <x-app-layout title="Queue">
     <div class="space-y-6">
@@ -40,16 +40,14 @@
             'queueCallNextParams' => array_filter(['practitioner_id' => $practitionerId]),
             'startRouteName' => 'care.queue.start',
             'inCareLabel' => $specialtyLabel ? 'In care' : 'In consultation',
-            'openInCareUrl' => function ($appointment) use ($queueBridge) {
-                $organization = $appointment->organization;
-                if ($organization && $appointment->visit) {
-                    $context = $queueBridge->contextForAppointment($organization, $appointment);
-                    if ($context !== \App\Services\Care\CareQueueContexts::CONSULTATION) {
-                        return route('care.specialty.workspace', [
-                            'module' => $context,
-                            'visit' => $appointment->visit,
-                        ]);
-                    }
+            'openInCareUrl' => function ($appointment) use ($specialtyDepartmentMap) {
+                $deptId = (int) ($appointment->department_id ?? 0);
+                $module = $deptId > 0 ? ($specialtyDepartmentMap[$deptId] ?? null) : null;
+                if ($module && $appointment->visit) {
+                    return route('care.specialty.workspace', [
+                        'module' => $module,
+                        'visit' => $appointment->visit,
+                    ]);
                 }
 
                 return $appointment->consultation