### 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
switch (p_what) {
		case NOTIFICATION_ENTER_TREE: {
			get_tree()->connect("tree_changed", callable_mp(this, &SceneTreeEditor::_tree_changed));
			get_tree()->connect("tree_process_mode_changed", callable_mp(this, &SceneTreeEditor::_tree_process_mode_changed));
			get_tree()->connect("node_removed", callable_mp(this, &SceneTreeEditor::_node_removed));
			get_tree()->connect("node_renamed", callable_mp(this, &SceneTreeEditor::_node_renamed));
			get_tree()->connect("node_configuration_warning_changed", callable_mp(this, &SceneTreeEditor::_warning_changed));
			tree->connect("item_collapsed", callable_mp(this, &SceneTreeEditor::_cell_collapsed));
			_update_tree();
		} break;
		case NOTIFICATION_EXIT_TREE: {
			get_tree()->disconnect("tree_changed", callable_mp(this, &SceneTreeEditor::_tree_changed));
			get_tree()->disconnect("tree_process_mode_changed", callable_mp(this, &SceneTreeEditor::_tree_process_mode_changed));
			get_tree()->disconnect("node_removed", callable_mp(this, &SceneTreeEditor::_node_removed));
			get_tree()->disconnect("node_renamed", callable_mp(this, &SceneTreeEditor::_node_renamed));
			tree->disconnect("item_collapsed", callable_mp(this, &SceneTreeEditor::_cell_collapsed));
			get_tree()->disconnect("node_configuration_warning_changed", callable_mp(this, &SceneTreeEditor::_warning_changed));
		} break;
		case NOTIFICATION_THEME_CHANGED: {
			tree->add_theme_constant_override("icon_max_width", get_theme_constant(SNAME("class_icon_size"), SNAME("Editor")));
			_update_tree();
		} break;
	}
}
TreeItem *SceneTreeEditor::_find(TreeItem *p_node, const NodePath &p_path) {