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/locales/en/main.json

@@ -3056,11 +3056,11 @@
       "promptAddInputs": "Click on node parameters to add them here as inputs",
       "noInputs": "No inputs added yet",
       "inputsDesc": "Users will interact and adjust these to generate their outputs.",
-      "inputsExample": "Examples: “Load image”, “Text prompt”, “Steps”",
+      "inputsExample": "Examples: “Load\u00a0image”, “Text\u00a0prompt”, “Steps”",
       "promptAddOutputs": "Click on output nodes to add them here. These will be the generated results.",
       "noOutputs": "No output nodes added yet",
       "outputsDesc": "Connect at least one output node so users can see results after running.",
-      "outputsExample": "Examples: “Save Image” or “Save Video”"
+      "outputsExample": "Examples: “Save\u00a0Image” or “Save\u00a0Video”"
     },
     "queue": {
       "clickToClear": "Click to clear queue",