Wire admin studio SSR and search infrastructure

app/Services/Studio/CreatorStudioCalendarService.php

@@ -129,9 +129,12 @@ final class CreatorStudioCalendarService
             $days[] = [
                 'date' => $key,
                 'day' => $date->day,
+                'label' => $date->format('D, M j'),
                 'is_current_month' => $date->month === $focusDate->month,
                 'count' => $items->count(),
-                'items' => $items->take(3)->all(),
+                'overflow_count' => max(0, $items->count() - 4),
+                'detail_items' => $items->all(),
+                'items' => $items->take(4)->all(),
             ];
         }