### 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 (!script_typed.is_null()) {
			emit_signal(SNAME("open_script"), script_typed);
		}
	} else if (p_id == BUTTON_VISIBILITY) {
		undo_redo->create_action(TTR("Toggle Visible"));
		_toggle_visible(n);
		List<Node *> selection = editor_selection->get_selected_node_list();
		if (selection.size() > 1 && selection.find(n) != nullptr) {
			for (Node *nv : selection) {
				ERR_FAIL_COND(!nv);
				if (nv == n) {
					continue;
				}
				_toggle_visible(nv);
			}
		}
		undo_redo->commit_action();
	} else if (p_id == BUTTON_LOCK) {
		undo_redo->create_action(TTR("Unlock Node"));
		if (n->is_class("CanvasItem") || n->is_class("Node3D")) {
			undo_redo->add_do_method(n, "remove_meta", "_edit_lock_");
			undo_redo->add_undo_method(n, "set_meta", "_edit_lock_", true);
			undo_redo->add_do_method(this, "_update_tree");
			undo_redo->add_undo_method(this, "_update_tree");
			undo_redo->add_do_method(this, "emit_signal", "node_changed");
			undo_redo->add_undo_method(this, "emit_signal", "node_changed");
		}
		undo_redo->commit_action();
	} else if (p_id == BUTTON_PIN) {
		if (n->is_class("AnimationPlayer")) {