How would I move a profile to a new list (or segment) when they are done with a flow?

Hello,

How would I move a profile to a new list (or segment) when they are done with a flow?

I have leads that will come in to a flow (triggered because they were added to a list) but after they are done with that email sequence I want them then moved to a general broadcast list (or segment).

This seems really difficult to achieve and support still can’t get me the answer (although they have tried to be helpful).

Has anyone else had this same issue? This is so elementary for autoresponders so I’m a little shocked.

Thanks

Ken