### Godot version

4.1.1

### System information

windows 11

### Issue description

When registering a type with class_name and using that class name to declare a variable in code only, autocomplete works as expected anywhere in other nodes/scenes. However, if making a custom scene node that extends a script with the class_name, if that custom scene is instantiated in a different scene, even if the type is specified, it only shows the parent node's functions and not any of the extended functionality. I have made a basic project showing the issue

### Steps to reproduce

I have made a very simple project showing the issue. https://github.com/mmmmmmmmmmmmmmmmmmmdonuts/godot_4_autocomplete_issue essentially, the extended Node scene will only show the custom function when both the type is specified as well as the type afterwards following "as" 
e.g. `@onready var my_class_4: MyClass = $MyClass4 as MyClass`

### Minimal reproduction project

https://github.com/mmmmmmmmmmmmmmmmmmmdonuts/godot_4_autocomplete_issue
}
			StringName class_name = native_type.native_type;
			if (!ClassDB::class_exists(class_name)) {
				break;
			}
			bool use_type_hint = EditorSettings::get_singleton()->get_setting("text_editor/completion/add_type_hints").operator bool();
			List<MethodInfo> virtual_methods;
			ClassDB::get_virtual_methods(class_name, &virtual_methods);
			{
				
				MethodInfo static_init("_static_init");
				static_init.return_val.type = Variant::NIL;
				static_init.flags |= METHOD_FLAG_STATIC | METHOD_FLAG_VIRTUAL;
				virtual_methods.push_back(static_init);
			}
			for (const MethodInfo &mi : virtual_methods) {
				String method_hint = mi.name;
				if (method_hint.contains(":")) {
					method_hint = method_hint.get_slice(":", 0);
				}
				method_hint += "(";
				if (mi.arguments.size()) {
					for (int i = 0; i < mi.arguments.size(); i++) {
						if (i > 0) {
							method_hint += ", ";
						}
						String arg = mi.arguments[i].name;
						if (arg.contains(":")) {
							arg = arg.substr(0, arg.find(":"));
						}