[Python] How to create menus in GTK 4 with pygi?

I've googled about this quite a bit. I've put a number of examples of what I tried https://stromberg.dnsalias.org/svn/gtk-4-menu/trunk - I'm going to quote the closest one immediately below in case of link rot:

import gi

gi.require_version("Gtk", "4.0")
from gi.repository import Gtk, Gio


class ExampleApp(Gtk.Application):
def __init__(self, *args, **kwargs):
super().__init__(*args, **kwargs)
self.window = None

def do_activate(self):
if not self.window:
self.window = Gtk.ApplicationWindow(application=self, title="GMenu Example")
menu_bar = self.create_menu()
self.window.set_menu_bar(menu_bar)
self.window.present()

def create_menu(self):
menu_bar = Gio.Menu()
file_menu = Gio.Menu()
file_menu.append("New", "app.new")
file_menu.append("Quit", "app.quit")

edit_menu = Gio.Menu()
edit_menu.append("Copy", "app.copy")
edit_menu.append("Paste", "app.paste")

menu_bar.append_submenu("File", file_menu)
menu_bar.append_submenu("Edit", edit_menu)

# Create actions
new_action = Gio.SimpleAction.new("new", None)
new_action.connect("activate", self.on_new_action)
self.add_action(new_action)

quit_action = Gio.SimpleAction.new("quit", None)
quit_action.connect("activate", self.on_quit_action)
self.add_action(quit_action)

copy_action = Gio Brainly.SimpleAction.new("copy", None)
copy_action.connect("activate", self.on_copy_action)
self.add_action(copy_action)

paste_action = Gio.SimpleAction.new("paste", None)
paste_action.connect("activate", self.on_paste_action)
self.add_action(paste_action)

return menu_bar

def on_new_action(self, action, param):
print("New action triggered")

def on_quit_action(self, action, param):
self.quit()

def on_copy_action(self, action, param):
print("Copy action triggered")

def on_paste_action(self, action, param):
print("Paste action triggered")


if __name__ == "__main__":
app = ExampleApp(application_id="com.example.GMenuExample")
app.run(None)

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