Laura has handed your ticket to me. I hope this is fine.
I do see the point you are trying to achieve by adding taxonomy term to the URL. But the way you are doing is not recommended by the WordPress Codex. At least I haven't found any mention of this (https://developer.wordpress.org/reference/functions/register_post_type/). It is more like a custom workaround to achieve the goal.
So you´re saying that if i use rewrite rules, wpml will translate the slugs and add them to the url without getting a 404?? I need to be sure before starting making the changes to the code