✨(backend) extend live synchronization to lobby access level updates

Extend the existing live synchronization mechanism beyond room
configuration to also include lobby access level changes.

This ensures that all owners and admins sharing a room maintain a
consistent and up-to-date view of room state in the frontend,
including configuration and access control updates.

src/frontend/src/features/rooms/livekit/hooks/useSyncLiveKitMetadata.ts

@@ -4,7 +4,11 @@ import { useEffect } from 'react'
 import { RoomEvent } from 'livekit-client'
 import { queryClient } from '@/api/queryClient'
 import { keys } from '@/api/queryKeys'
-import type { ApiRoom, RoomConfiguration } from '@/features/rooms/api/ApiRoom'
+import {
+  ApiAccessLevel,
+  ApiRoom,
+  RoomConfiguration,
+} from '@/features/rooms/api/ApiRoom'
 import { useRoomContext } from '@livekit/components-react'
 import { useRoomData } from './useRoomData'
 
@@ -14,6 +18,7 @@ import { useRoomData } from './useRoomData'
  */
 type RoomLiveKitMetadata = {
   configuration?: RoomConfiguration
+  access_level?: ApiAccessLevel
 }
 
 const parseMetadata = (raw: string | undefined): RoomLiveKitMetadata | null => {
@@ -46,19 +51,24 @@ export const useSyncLiveKitMetadata = () => {
 
     const applyMetadata = (raw: string | undefined) => {
       const parsed = parseMetadata(raw)
-      // No configuration key → leave the cache alone. Don't clobber the
-      // value we already loaded from the API with `undefined`.
-      if (!parsed?.configuration) return
+      if (!parsed) return
 
       queryClient.setQueryData<ApiRoom>([keys.room, roomSlug], (prev) => {
         if (!prev) return prev
+        const nextConfiguration = parsed.configuration ?? prev.configuration
+        const nextAccessLevel = parsed.access_level ?? prev.access_level
         if (
-          JSON.stringify(prev.configuration) ===
-          JSON.stringify(parsed.configuration)
+          nextConfiguration === prev.configuration &&
+          nextAccessLevel === prev.access_level
         ) {
           return prev
         }
-        return { ...prev, configuration: parsed.configuration }
+
+        return {
+          ...prev,
+          configuration: nextConfiguration,
+          access_level: nextAccessLevel,
+        }
       })
     }