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>

app/Services/Care/Workflow/WorkflowEngine.php

@@ -64,6 +64,17 @@ class WorkflowEngine
 
     public function currentAdvance(Visit $visit): ?VisitStageAdvance
     {
+        if ($visit->relationLoaded('currentStageAdvance')) {
+            return $visit->currentStageAdvance;
+        }
+
+        if ($visit->relationLoaded('stageAdvances')) {
+            return $visit->stageAdvances
+                ->whereIn('status', [VisitStageAdvance::STATUS_ACTIVE, VisitStageAdvance::STATUS_BLOCKED])
+                ->sortByDesc('id')
+                ->first();
+        }
+
         return VisitStageAdvance::query()
             ->where('visit_id', $visit->id)
             ->whereIn('status', [VisitStageAdvance::STATUS_ACTIVE, VisitStageAdvance::STATUS_BLOCKED])