Fix promoted assets not being assets in vue (#7576)

- Fixes asset widgets which have been promoted failing to display as
asset widgets and having red names in vue mode.
- Fixes promoted subgraph widgets failing to resolve inputSpec for use
in vue mode.

| Before | After |
| ------ | ----- |
| <img width="360" alt="before"
src="https://github.com/user-attachments/assets/6c2d2763-6ac3-4769-82c5-b1ab1cc5e945"/>
| <img width="360" alt="after"
src="https://github.com/user-attachments/assets/742e218b-ec42-411a-b5a2-021820031e2a"
/>|

I'm not excited that this creates further bloat of SimplifiedWidget.

Known issue
- Similar to #7550, subgraph widgets will have an incorrect callback and
will fail to update value on a fresh reload. This can be "fixed" (made
worse) by entering and exiting the subgraph. Since this creates a
'leaked' widget callback which will then be called.

┆Issue is synchronized with this [Notion
page](https://www.notion.so/PR-7576-Fix-promoted-assets-not-being-assets-in-vue-2cc6d73d3650814b8734f69b225b0228)
by [Unito](https://www.unito.io)

src/renderer/extensions/vueNodes/components/NodeWidgets.vue

@@ -168,12 +168,13 @@ const processedWidgets = computed((): ProcessedWidget[] => {
       name: widget.name,
       type: widget.type,
       value: widget.value,
-      label: widget.label,
-      options: widgetOptions,
-      callback: widget.callback,
-      spec: widget.spec,
       borderStyle: widget.borderStyle,
-      controlWidget: widget.controlWidget
+      callback: widget.callback,
+      controlWidget: widget.controlWidget,
+      label: widget.label,
+      nodeType: widget.nodeType,
+      options: widgetOptions,
+      spec: widget.spec
     }
 
     function updateHandler(value: WidgetValue) {

src/renderer/extensions/vueNodes/widgets/components/WidgetSelect.vue

@@ -1,8 +1,9 @@
 <template>
   <WidgetSelectDropdown
     v-if="isDropdownUIWidget"
-    v-bind="props"
     v-model="modelValue"
+    :widget
+    :node-type="widget.nodeType ?? nodeType"
     :asset-kind="assetKind"
     :allow-upload="allowUpload"
     :upload-folder="uploadFolder"
@@ -100,10 +101,9 @@ const isAssetMode = computed(() => {
   if (isCloud) {
     const settingStore = useSettingStore()
     const isUsingAssetAPI = settingStore.get('Comfy.Assets.UseAssetAPI')
-    const isEligible = assetService.isAssetBrowserEligible(
-      props.nodeType,
-      props.widget.name
-    )
+    const isEligible =
+      assetService.isAssetBrowserEligible(props.nodeType, props.widget.name) ||
+      props.widget.type === 'asset'
 
     return isUsingAssetAPI && isEligible
   }