The problem is the US Attorney General doesn’t argue this point. When a state drags the executive into a circuit court, they need to argue that the court has no jurisdiction.
If they did that, this constant lawfare would end.
The Attorney General doesn’t make that argument because it would be a frivolous argument. Article III does not vest exclusive jurisdiction over these cases in the Supreme Court, and Congress vested the district courts with jurisdiction over these cases in the Judiciary Act, which the Constitution empowers Congress to do.