### 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
item->set_metadata(0, p_node->get_path());
	if (connect_to_script_mode) {
		Color accent = get_theme_color(SNAME("accent_color"), SNAME("Editor"));
		Ref<Script> scr = p_node->get_script();
		if (!scr.is_null() && EditorNode::get_singleton()->get_object_custom_type_base(p_node) != scr) {
			
			item->add_button(0, get_theme_icon(SNAME("Script"), SNAME("EditorIcons")), BUTTON_SCRIPT);
		} else {
			
			item->set_custom_color(0, get_theme_color(SNAME("disabled_font_color"), SNAME("Editor")));
			item->set_selectable(0, false);
			if (!scr.is_null()) { 
				item->add_button(0, get_theme_icon(SNAME("Script"), SNAME("EditorIcons")), BUTTON_SCRIPT);
				item->set_button_disabled(0, item->get_button_count(0) - 1, true);
			}
			accent.a *= 0.7;
		}
		if (marked.has(p_node)) {
			String node_name = p_node->get_name();
			if (connecting_signal) {
				node_name += " " + TTR("(Connecting From)");
			}
			item->set_text(0, node_name);
			item->set_custom_color(0, accent);
		}
	} else if (part_of_subscene) {
		if (valid_types.size() == 0) {
			item->set_custom_color(0, get_theme_color(SNAME("warning_color"), SNAME("Editor")));
		}
	} else if (marked.has(p_node)) {