Pause the queue after the current clip for real, and carry global locks plus labeled permanence stills through generate and shot prompts.

Co-authored-by: Cursor <cursoragent@cursor.com>

server/api/studio-queue.get.ts

@@ -1,5 +1,5 @@
 import { listShotQueues, summarizeQueue } from '~/server/utils/shotQueue'
-import { listStudioJobs, summarizeStudioJob } from '~/server/utils/studioQueue'
+import { isStudioQueuePaused, listStudioJobs, summarizeStudioJob } from '~/server/utils/studioQueue'
 
 export default defineEventHandler((event) => {
   const { owner } = assertLibraryOwner(event)
@@ -35,6 +35,7 @@ export default defineEventHandler((event) => {
         .filter(queue => !claimed.has(queue.id) && queue.status !== 'complete')
         .map(summarizeQueue)
       : [],
-    waitingCount: jobs.filter(job => job.status === 'waiting').length
+    waitingCount: jobs.filter(job => job.status === 'waiting').length,
+    paused: isStudioQueuePaused(owner)
   }
 })