How to allow the translation of menu links provided by my_module.links.menu.yml

I have the Configuration Translation module installed in a multilingual site and I am able to translate any menu created with the UI…. This is fine!!

I have a module which is creating some menus with the help of a yml static file: my_module.links.menu.yml

Unfortunately,

1-I couldn’t translate any title/description (created in the yml) through in the UI as the translation tab is "locked" with this message : This link is provided by the xxx module. The title and path cannot be edited.

2-the User interface translation page (/admin/config/regional/translate) couldn’t find the titles/descriptions (created in the yml) that I would like to translate

More to add: I have checked Custom menu link in the Content language an translation page (/admin/config/regional/translate) but this doesn’t change anything… What is the purpose of this option?

…If someone can help me on this, I assume I will be able to use the provided solution to translate items created in other yml static files like my_module.links.action.yml