Keep the Extend panel put and name sibling clips as branches.

A finished job no longer closes a draft or jumps the page, and a second extend from the same part saves as p8b instead of another p8.

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

server/utils/studioQueue.ts

@@ -951,7 +951,8 @@ async function startStudioExtendJob(item: StudioJob) {
       promptPost: item.payload.promptPost,
       duration: item.payload.duration,
       loraStack: item.payload.loraStack || item.payload.loraName,
-      folderLocked: item.payload.folderLocked
+      folderLocked: item.payload.folderLocked,
+      name: item.payload.name || item.name
     })
     await markStudioLive(item.ownerKey, item.id, live.id)
   } catch (error) {