BuddyPress.org

I have found a solution.

This did what I wanted:
https://buddypress.org/community/groups/how-to-and-troubleshooting/forum/topic/how-to-remove-and-add-items-in-bp_get_displayed_user_nav#post-71009

all I had to add was:
if (! is_user_logged_in)

Thanks!