Not possible to add a language switcher to the Navigation Block

Overview of the issue

With the Twenty Twenty-Two theme, WordPress implemented the new Full Site Editing mode. Now, the menu should be added using a Navigation Block, instead of the traditional method through Appearance → Menus.

At the moment, it is not possible to add a language switcher to a menu created with the Navigation Block through the WPML → Languages → Menu Language Switcher option.

Workaround

You can add a language switcher using a shortcode.

1. Add a menu using the Navigation Block.
2. Click on the + icon to add a new item to the menu.
3. In the text field, add a language switcher shortcode and hit enter. E.g. [wpml_language_switcher flags=1 native=1 translated=1][/wpml_language_switcher]
4. Save the page.
5. The language switcher should be displayed in the menu on front-end.