### 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
VBoxContainer *vb = memnew(VBoxContainer);
	Array objs;
	int list_max = 10;
	float opacity_step = 1.0f / list_max;
	float opacity_item = 1.0f;
	for (int i = 0; i < selected_nodes.size(); i++) {
		if (i < list_max) {
			HBoxContainer *hb = memnew(HBoxContainer);
			TextureRect *tf = memnew(TextureRect);
			tf->set_texture(icons[i]);
			tf->set_stretch_mode(TextureRect::STRETCH_KEEP_CENTERED);
			hb->add_child(tf);
			Label *label = memnew(Label(selected_nodes[i]->get_name()));
			hb->add_child(label);
			vb->add_child(hb);
			hb->set_modulate(Color(1, 1, 1, opacity_item));
			opacity_item -= opacity_step;
		}
		NodePath p = selected_nodes[i]->get_path();
		objs.push_back(p);
	}
	set_drag_preview(vb);
	Dictionary drag_data;
	drag_data["type"] = "nodes";
	drag_data["nodes"] = objs;
	tree->set_drop_mode_flags(Tree::DROP_MODE_INBETWEEN | Tree::DROP_MODE_ON_ITEM);
	emit_signal(SNAME("nodes_dragged"));
	return drag_data;
}
bool SceneTreeEditor::_is_script_type(const StringName &p_type) const {