Host that code. Serve that code to other users. It does not grant the right to create derivative works of that code outside the purview of the code's license. That would be a non-starter in practice; see every repository with GPL code not written by the repository creator.

Whether the results of these programs is somehow Not A Derivative Work is the question at hand here, not "sharing". I think (and I hope) that the answer to that question won't go the way the AI folks want it to go; the amount of circumlocution needed to excuse that the not actually thinking and perceiving program is deriving data changes from its copyright-protected inputs is a tell that the folks pushing it know it's silly.