This thread is resolved. Here is a description of the problem and solution.
If you are using the Site Editor and add a menu to your template using the Navigation block, you need to send the Navigation Menu to translation via the Translation Management Dashboard. This allows you to use the Advanced Translation Editor to translate the menu items, including the links.
As you can see on my site (hidden link) the menu is structured to be accessed from a hamburger menu (also on desktop). This is implemented with the 'traditional' WP core navigation block. However, when I try to translate the navigation items (using the FSE template translation description), WPML simply does not recognize the menu items (neither the titles nor the links).
What could be the problem here?
before your ticket is assigned to one of my colleagues, please allow me to walk you through some initial debugging steps. This will help speed up the support process.
Please open WPML -> Translation Management and select the affected navigation menu in the dropdown "Navigation menu", that you use on the specific page/template.
Start a translation of this menu and search for "http" in the ATE search window, then you can manually adjust the URLs to /en etc. We are already working on a workaround to rewrite this to the translated ID automatically. However, our "Translate Link Target" function must first be modified to make REST requests possible.