No, at this junction he is not a 3 down back... I don't think he will be given an oportunity to see if he could be a 3 down back here either. I think Beane's M.O. is no RBs on 2nd contracts unless they are team friendly or a backup type player. Cook has already killed the team friendly contract thoughts, and he is not a back up either.
If next years draft is weak at RB then I would consider a transition tag and trade scenario depending how Cook '25 season goes.