Attorneys General used to argue cases in the Supreme Court. Back in the day, AG’s argued the most important cases and, by tradition, were not interrupted by the Justices. (That would never fly now, of course.). Later, the norm evolved such that an AG would argue one case before the Court. But this stopped in 2008 with Michael Mukasey.
AGs should be encouraged to argue at least one Supreme Court case, even if it’s not one of the more important ones. It would give the Justices an opportunity to interact with that person professionally. It would also remind the AG that he or she is an officer of the court as well as an executive officer.