### 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
List<GroupInfo> groups;
			p_node->get_groups(&groups);
			for (const GroupInfo &E : groups) {
				if (E.persistent) {
					msg_temp += String::utf8("•  ") + String(E.name) + "\n";
				}
			}
		}
		if (num_connections >= 1 || num_groups >= 1) {
			if (num_groups < 1) {
				msg_temp += "\n";
			}
			msg_temp += TTR("Click to show signals dock.");
		}
		Ref<Texture2D> icon_temp;
		SceneTreeEditorButton signal_temp = BUTTON_SIGNALS;
		if (num_connections >= 1 && num_groups >= 1) {
			icon_temp = get_theme_icon(SNAME("SignalsAndGroups"), SNAME("EditorIcons"));
		} else if (num_connections >= 1) {
			icon_temp = get_theme_icon(SNAME("Signals"), SNAME("EditorIcons"));
		} else if (num_groups >= 1) {
			icon_temp = get_theme_icon(SNAME("Groups"), SNAME("EditorIcons"));
			signal_temp = BUTTON_GROUPS;
		}
		if (num_connections >= 1 || num_groups >= 1) {
			item->add_button(0, icon_temp, signal_temp, false, msg_temp);
		}
	}
	// Display the node name in all tooltips so that long node names can be previewed
	// without having to rename them.