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/videoChain.ts

@@ -6,7 +6,7 @@ import { emitChainJob, waitForComfySocket, watchComfyJob } from '~/server/utils/
 import { comfyFilenamePrefix, queuePrompt, uploadImage } from '~/server/utils/comfy'
 import { buildWorkflow } from '~/server/utils/workflow'
 import { isLtxWorkflow, isTextToVideo, parseVideoWorkflow, workflowForExtension, type VideoWorkflowId } from '~/utils/videoModels'
-import { clipVideoPath, clipTitle, deleteRetryDraft, extendTempDir, getClip, nextClipPartName, removeExtendTemp, stillPath } from '~/server/utils/library'
+import { clipVideoPath, clipTitle, deleteRetryDraft, extendTempDir, getClip, nextFamilyPartName, removeExtendTemp, stillPath } from '~/server/utils/library'
 import { extractLastFrame, probeHasAudio } from '~/server/utils/ffmpeg'
 import { ensureComfyReady } from '~/server/utils/comfyLifecycle'
 import { onLiveVideoSettled, onStudioQueueBurstStarted } from '~/server/utils/studioQueue'
@@ -574,7 +574,7 @@ export async function startQueueBurst(owner: string, queueId: string, count: num
     hideThumbnail: queue.hideThumbnail,
     hideInput: queue.hideInput,
     folderLocked: destFolderLocked,
-    name: nextClipPartName(clipTitle(source)),
+    name: nextFamilyPartName(owner, source),
     prompt: queue.segments[lastIndex]?.prompt || source.prompt,
     aspect: queue.aspect,
     width: queue.width,