I think they can refuse to hear any case if they choose.
Or hear any case when 4 of the SCOTUS members vote yes to do so.
I wonder if the reality of a state bringing the suit would goose them out of their avoidance mode?
Maybe it would be best to have a group of states do it? That would carry more weight. Refusing to hear a case filed by multiple states - that would be a real hot potato.
Getting a group of states to do it - I haven’t a clue if it’s feasible.