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/Http/Controllers/Care/SpecialtyModuleController.php

@@ -623,7 +623,7 @@ class SpecialtyModuleController extends Controller
                 $practitionerScope !== null,
                 fn ($q) => $q->whereIn('practitioner_id', $practitionerScope ?: [0]),
             )
-            ->with(['patient', 'practitioner', 'department', 'visit'])
+            ->with(['patient', 'practitioner', 'department', 'visit.currentStageAdvance.stage'])
             ->orderBy('queue_position')
             ->orderBy('checked_in_at')
             ->limit(50)