Integrate LiveKit SFU and harden booking workflow

lib/booking/adminCalendar.ts

@@ -11,6 +11,7 @@ export type AdminCalendarItem = {
   endTime: string;
   status: string; // booking status, or "public" for a standalone Event
   appointmentType?: "onsite" | "online";
+  callEventSlug?: string;
   href: string;
 };
 
@@ -61,6 +62,10 @@ export async function getAdminCalendarItems(
       endTime: b.endTime,
       status: b.status,
       appointmentType: b.appointmentType,
+      callEventSlug:
+        b.appointmentType === "online" && typeof b.linkedEvent === "object" && b.linkedEvent?.slug
+          ? b.linkedEvent.slug
+          : undefined,
       href: `/admin/collections/booking-requests/${b.id}`,
     };
   });
@@ -74,6 +79,7 @@ export async function getAdminCalendarItems(
     endTime: e.endTime ?? e.date,
     status: "public",
     appointmentType: e.isOnline ? "online" : "onsite",
+    callEventSlug: e.isOnline && e.slug ? e.slug : undefined,
     href: `/admin/collections/events/${e.id}`,
   }));