Update the frontend to support async nodes.

src/components/graph/widgets/TextPreviewWidget.vue

@@ -20,33 +20,44 @@ import { useExecutionStore } from '@/stores/executionStore'
 import { linkifyHtml, nl2br } from '@/utils/formatUtil'
 
 const modelValue = defineModel<string>({ required: true })
-defineProps<{
+const props = defineProps<{
   widget?: object
+  nodeId: NodeId
 }>()
 
 const executionStore = useExecutionStore()
 const isParentNodeExecuting = ref(true)
 const formattedText = computed(() => nl2br(linkifyHtml(modelValue.value)))
 
-let executingNodeId: NodeId | null = null
+let parentNodeId: NodeId | null = null
 onMounted(() => {
-  executingNodeId = executionStore.executingNodeId
+  // Get the parent node ID from props if provided
+  // For backward compatibility, fall back to the first executing node
+  parentNodeId = props.nodeId
 })
 
 // Watch for either a new node has starting execution or overall execution ending
 const stopWatching = watch(
-  [() => executionStore.executingNode, () => executionStore.isIdle],
+  [() => executionStore.executingNodeIds, () => executionStore.isIdle],
   () => {
+    if (executionStore.isIdle) {
+      isParentNodeExecuting.value = false
+      stopWatching()
+      return
+    }
+
+    // Check if parent node is no longer in the executing nodes list
     if (
-      executionStore.isIdle ||
-      (executionStore.executingNode &&
-        executionStore.executingNode.id !== executingNodeId)
+      parentNodeId &&
+      !executionStore.executingNodeIds.includes(parentNodeId)
     ) {
       isParentNodeExecuting.value = false
       stopWatching()
     }
-    if (!executingNodeId) {
-      executingNodeId = executionStore.executingNodeId
+
+    // Set parent node ID if not set yet
+    if (!parentNodeId && executionStore.executingNodeIds.length > 0) {
+      parentNodeId = executionStore.executingNodeIds[0]
     }
   }
 )