### Godot version

v4.0.3.stable.mono.official [5222a99f5]

### System information

Windows 11

### Issue description

In the "Select a Node" windows, popped up when pressed the "Assign..." button of a `NodePath` property in the inspector.
Input any character in the "Filter Nodes" line, then clear it.

All ancestors of target type nodes become selectable.

I think it's because the correct result is supposed to be like this:
![image](https://github.com/godotengine/godot/assets/3178725/7d8ef6a2-d9f0-444e-8b18-0f251d553a1d)

but the invalid ancestors, which should be leaved in the dialog but set to unselectable, are in the wrong state.



### Steps to reproduce

- Create a new project.
- Create a new scene like this.
![image](https://github.com/godotengine/godot/assets/3178725/84acde89-a6a9-4ba7-adb4-f883531bd51a)
- Select `BoneAttachment3D` node, turn on `Use External Skeleton`
![image](https://github.com/godotengine/godot/assets/3178725/fd9fd252-253d-4a48-ba2b-764cef276738)
- Hit the "Assign..." button, open the dialog, it's good at this moment.
![image](https://github.com/godotengine/godot/assets/3178725/511d6fb8-4c83-408b-9717-0726cb7568ad)
- Input any character in the "Filter Nodes" line (like `d`).
![image](https://github.com/godotengine/godot/assets/3178725/cc60b4e4-c890-4c81-ae16-edc28fc18b57)



### Minimal reproduction project

N/A
if (!p_node) {
		return;
	}
	
	
	bool part_of_subscene = false;
	if (!display_foreign && p_node->get_owner() != get_scene_node() && p_node != get_scene_node()) {
		if ((show_enabled_subscene || can_open_instance) && p_node->get_owner() && (get_scene_node()->is_editable_instance(p_node->get_owner()))) {
			part_of_subscene = true;
			
		} else {
			return;
		}
	} else {
		part_of_subscene = p_node != get_scene_node() && get_scene_node()->get_scene_inherited_state().is_valid() && get_scene_node()->get_scene_inherited_state()->find_node_by_path(get_scene_node()->get_path_to(p_node)) >= 0;
	}
	TreeItem *item = tree->create_item(p_parent);
	item->set_text(0, p_node->get_name());
	if (can_rename && !part_of_subscene) {
		item->set_editable(0, true);
	}
	item->set_selectable(0, true);
	if (can_rename) {
		bool collapsed = p_node->is_displayed_folded();
		if (collapsed) {
			item->set_collapsed(true);
		}
	}
	Ref<Texture2D> icon = EditorNode::get_singleton()->get_object_icon(p_node, "Node");
	item->set_icon(0, icon);