Support selection of app inputs and outputs from vue mode (#9259)

- The input and output indicators are now plugged directly into the
`LGraphNode.vue` template. Care was taken to make implementation to have
low cost for performance and complexity when not in app mode setup.
- Context menu event handlers are added to each widget in vue mode
instead of resolving the target widget of an event
- Swap the nodeId passed by `useGraphNodeManager` to not include the
locator id. This id was never used and was incorrect since it didn't
resolve across nested subgraphs.
- Continued bug fixes for app mode as a whole.

Known issue: There is disparity of nodeId between litegraph (which
references the widget in the root graph) and vue (which promotes the
original widget). Efforts to reconcile are ongoing.

┆Issue is synchronized with this [Notion
page](https://www.notion.so/PR-9259-Support-selection-app-inputs-and-outputs-from-vue-mode-3136d73d365081ae8e56e35bf6322409)
by [Unito](https://www.unito.io)

---------

Co-authored-by: pythongosssss <125205205+pythongosssss@users.noreply.github.com>

src/renderer/extensions/linearMode/AppOutput.vue

@@ -0,0 +1,51 @@
+<script setup lang="ts">
+import { remove } from 'es-toolkit'
+import { computed } from 'vue'
+
+import type { NodeId } from '@/lib/litegraph/src/LGraphNode'
+import { useAppModeStore } from '@/stores/appModeStore'
+import { cn } from '@/utils/tailwindUtil'
+
+const { id } = defineProps<{ id: string }>()
+
+const appModeStore = useAppModeStore()
+const isPromoted = computed(() =>
+  appModeStore.selectedOutputs.some(matchesThis)
+)
+
+function matchesThis(nodeId: NodeId) {
+  return id == nodeId
+}
+function togglePromotion() {
+  if (isPromoted.value) remove(appModeStore.selectedOutputs, matchesThis)
+  else appModeStore.selectedOutputs.push(id)
+}
+</script>
+<template>
+  <div
+    :class="
+      cn(
+        'absolute w-full h-full pointer-events-auto ring-warning-background/50 ring-5 rounded-2xl',
+        isPromoted && 'ring-warning-background'
+      )
+    "
+    @click.capture.stop.prevent
+    @pointerup.capture.stop.prevent
+    @pointermove.capture.stop.prevent
+    @pointerdown.capture.stop="togglePromotion"
+    @contextmenu.capture.stop.prevent
+  >
+    <div class="absolute top-0 right-0 size-8">
+      <div
+        v-if="isPromoted"
+        class="absolute -top-1/2 -right-1/2 size-full p-2 bg-warning-background rounded-lg"
+      >
+        <i class="icon-[lucide--check] bg-text-foreground size-full" />
+      </div>
+      <div
+        v-else
+        class="absolute -top-1/2 -right-1/2 size-full ring-warning-background/50 ring-4 ring-inset bg-component-node-background rounded-lg"
+      />
+    </div>
+  </div>
+</template>