1. “Whether, for purposes of the Appointments Clause, U.S. Const. Art. II, § 2, Cl. 2, administrative patent judges of the U.S. Patent and Trademark Office are principal officers who must be appointed by the President with the Senate’s advice and consent, or ‘inferior Officers’ whose appointment Congress has permissibly vested in a department head.” 2. “Whether the court of appeals erred by adjudicating Appointments Clause challenges brought by litigants that had not presented such a challenge to the agency.”