### Godot version

4.1.1

### System information

Linux Mint, Godot 4.1.1

### Issue description

Hi,

I've extended my own class, which extends "Node2D".
Now, in the create node menu, the icon from the "Node" class is displayed instead of the icon from the extended "Node2d"-class.

Here is a screenshot to show how it looks:
![Bildschirmfoto vom 2023-07-28 10-18-12](https://github.com/godotengine/godot/assets/34768615/378773cb-e47c-4cde-adeb-2444802058d7)

But after you create the node, the correct Icon is picked:

![Bildschirmfoto vom 2023-07-28 10-20-07](https://github.com/godotengine/godot/assets/34768615/3e8dc583-55fa-401e-a574-2d97297333a6)

Regards
abgenullt

### Steps to reproduce

Extend from a custom class and check the icon in the menu.

### Minimal reproduction project

[InheritTest.zip](https://github.com/godotengine/godot/files/12192148/InheritTest.zip)

_screenshot();
}
void EditorNode::_screenshot(bool p_use_utc) {
	String name = "editor_screenshot_" + Time::get_singleton()->get_datetime_string_from_system(p_use_utc).replace(":", "") + ".png";
	NodePath path = String("user:") + name;
	_save_screenshot(path);
	if (EDITOR_GET("interface/editor/automatically_open_screenshots")) {
		OS::get_singleton()->shell_show_in_file_manager(ProjectSettings::get_singleton()->globalize_path(path), true);
	}
}
void EditorNode::_save_screenshot(NodePath p_path) {
	Control *editor_main_screen = EditorInterface::get_singleton()->get_editor_main_screen();
	ERR_FAIL_COND_MSG(!editor_main_screen, "Cannot get the editor main screen control.");
	Viewport *viewport = editor_main_screen->get_viewport();
	ERR_FAIL_COND_MSG(!viewport, "Cannot get a viewport from the editor main screen.");
	Ref<ViewportTexture> texture = viewport->get_texture();
	ERR_FAIL_COND_MSG(texture.is_null(), "Cannot get a viewport texture from the editor main screen.");
	Ref<Image> img = texture->get_image();
	ERR_FAIL_COND_MSG(img.is_null(), "Cannot get an image from a viewport texture of the editor main screen.");
	Error error = img->save_png(p_path);
	ERR_FAIL_COND_MSG(error != OK, "Cannot save screenshot to file '" + p_path + "'.");
}
void EditorNode::_tool_menu_option(int p_idx) {