### 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
warning_icon = SNAME("NodeWarnings4Plus");
			}
			
			const String bullet_point = String::utf8("•  ");
			int next_newline = 0;
			while (next_newline != -1) {
				next_newline = conf_warning.find("\n", next_newline + 2);
				if (conf_warning.substr(next_newline + 1, bullet_point.length()) != bullet_point) {
					conf_warning = conf_warning.insert(next_newline + 1, "    ");
				}
			}
			String newline = (num_warnings == 1 ? "\n" : "\n\n");
			item->add_button(0, get_theme_icon(warning_icon, SNAME("EditorIcons")), BUTTON_WARNING, false, TTR("Node configuration warning:") + newline + conf_warning);
		}
		if (p_node->is_unique_name_in_owner()) {
			item->add_button(0, get_theme_icon(SNAME("SceneUniqueName"), SNAME("EditorIcons")), BUTTON_UNIQUE, false, vformat(TTR("This node can be accessed from within anywhere in the scene by preceding it with the '%s' prefix in a node path.\nClick to disable this."), UNIQUE_NODE_PREFIX));
		}
		int num_connections = p_node->get_persistent_signal_connection_count();
		int num_groups = p_node->get_persistent_group_count();
		String msg_temp;
		if (num_connections >= 1) {
			Array arr;
			arr.push_back(num_connections);
			msg_temp += TTRN("Node has one connection.", "Node has {num} connections.", num_connections).format(arr, "{num}");
			if (num_groups >= 1) {
				msg_temp += "\n";
			}
		}
		if (num_groups >= 1) {
			msg_temp += TTRN("Node is in this group:", "Node is in the following groups:", num_groups) + "\n";