Bump studio library sort to match family activity.

Studio sidebar now uses the newest part timestamp the same way the full library does.

pages/index.vue

@@ -2333,6 +2333,7 @@ import { emptyKeepPrompts, insertKeepSnippet, normalizeKeepPrompts, type KeepPro
 import {
   clipFamilyPartTitle,
   clipPartLabel,
+  familyActivityAt,
   familyBaseName,
   familyBranchSummary,
   familyDisplayNodes,
@@ -3436,7 +3437,7 @@ const stillGroups = computed(() => {
       const sorted = [...parts].sort(sortStillParts)
       return { key, head: sorted[0], parts: sorted }
     })
-    .sort((a, b) => b.head.createdAt - a.head.createdAt)
+    .sort((a, b) => familyActivityAt(b.parts) - familyActivityAt(a.parts))
 })
 const libraryGroups = computed(() => {
   const groups = new Map<string, LibraryClip[]>()
@@ -3451,7 +3452,7 @@ const libraryGroups = computed(() => {
       const head = familyRootClip(parts)
       return { key, head, parts: [...parts] }
     })
-    .sort((a, b) => b.head.createdAt - a.head.createdAt)
+    .sort((a, b) => familyActivityAt(b.parts) - familyActivityAt(a.parts))
 })
 const libraryEntries = computed(() => {
   const videos = libraryFilter.value === 'images'
@@ -3459,7 +3460,7 @@ const libraryEntries = computed(() => {
     : libraryGroups.value.map(group => ({
       kind: 'clip' as const,
       key: group.key,
-      createdAt: group.head.createdAt,
+      createdAt: familyActivityAt(group.parts),
       group
     }))
   const images = libraryFilter.value === 'videos'
@@ -3467,7 +3468,7 @@ const libraryEntries = computed(() => {
     : stillGroups.value.map(group => ({
       kind: 'still' as const,
       key: group.key,
-      createdAt: group.head.createdAt,
+      createdAt: familyActivityAt(group.parts),
       stillGroup: group
     }))
   return [...videos, ...images].sort((a, b) => b.createdAt - a.createdAt)