### 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
}
								}
							}
							
							return false;
						case GDScriptParser::ClassNode::Member::ENUM:
							r_type.type = member.m_enum->get_datatype();
							r_type.enumeration = member.m_enum->identifier->name;
							return true;
						case GDScriptParser::ClassNode::Member::ENUM_VALUE:
							r_type = _type_from_variant(member.enum_value.value);
							return true;
						case GDScriptParser::ClassNode::Member::SIGNAL:
							r_type.type.type_source = GDScriptParser::DataType::ANNOTATED_EXPLICIT;
							r_type.type.kind = GDScriptParser::DataType::BUILTIN;
							r_type.type.builtin_type = Variant::SIGNAL;
							return true;
						case GDScriptParser::ClassNode::Member::FUNCTION:
							if (is_static && !member.function->is_static) {
								return false;
							}
							r_type.type.type_source = GDScriptParser::DataType::ANNOTATED_EXPLICIT;
							r_type.type.kind = GDScriptParser::DataType::BUILTIN;
							r_type.type.builtin_type = Variant::CALLABLE;
							return true;
						case GDScriptParser::ClassNode::Member::CLASS:
							r_type.type.type_source = GDScriptParser::DataType::ANNOTATED_EXPLICIT;
							r_type.type.kind = GDScriptParser::DataType::CLASS;
							r_type.type.class_type = member.m_class;
							r_type.type.is_meta_type = true;