In actions on claims against a judicial branch entity, service of summons shall be made on:
(a) The court executive officer, in actions on claims against a superior court or a judge thereof.
(b) The Clerk/Administrator of the Court of Appeal, in actions on claims against a court of appeals or a judge thereof.
(c) The Clerk of the Supreme Court, in actions on claims against the Supreme Court or a judge thereof.
(d) The Secretariat of the Judicial Council, in actions on claims against the Judicial Council or the Administrative Office of the Courts.