### 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)

_update_update_spinner();
		} break;
		case SETTINGS_PREFERENCES: {
			editor_settings_dialog->popup_edit_settings();
		} break;
		case SETTINGS_EDITOR_DATA_FOLDER: {
			OS::get_singleton()->shell_show_in_file_manager(EditorPaths::get_singleton()->get_data_dir(), true);
		} break;
		case SETTINGS_EDITOR_CONFIG_FOLDER: {
			OS::get_singleton()->shell_show_in_file_manager(EditorPaths::get_singleton()->get_config_dir(), true);
		} break;
		case SETTINGS_MANAGE_EXPORT_TEMPLATES: {
			export_template_manager->popup_manager();
		} break;
		case SETTINGS_MANAGE_FBX_IMPORTER: {
#if !defined(ANDROID_ENABLED) && !defined(WEB_ENABLED)
			fbx_importer_manager->show_dialog();
#endif
		} break;
		case SETTINGS_INSTALL_ANDROID_BUILD_TEMPLATE: {
			gradle_build_manage_templates->hide();
			file_android_build_source->popup_centered_ratio();
		} break;
		case SETTINGS_MANAGE_FEATURE_PROFILES: {
			feature_profile_manager->popup_centered_clamped(Size2(900, 800) * EDSCALE, 0.8);
		} break;
		case SETTINGS_TOGGLE_FULLSCREEN: {
			DisplayServer::get_singleton()->window_set_mode(DisplayServer::get_singleton()->window_get_mode() == DisplayServer::WINDOW_MODE_FULLSCREEN ? DisplayServer::WINDOW_MODE_WINDOWED : DisplayServer::WINDOW_MODE_FULLSCREEN);
		} break;
		case EDITOR_SCREENSHOT: {