Read the codex, that’s where i finally found the answer :
https://codex.wordpress.org/Plugin_API/Action_Reference/publish_post
in the end :
Custom Post Types
To trigger this action for a custom post type, use publish_{$custom_post_type}. e.g. if your post type is ‘book’ use:
add_action( 'publish_book', 'post_published_notification', 10, 2 );