The authority or the city may take an appeal from the judgment of the court to the Court of Appeals, and the appeal shall be heard and determined without reference to the principles of demurrer to evidence. The trial court shall certify the facts in the case to the Court of Appeals and the evidence shall be considered as on appeal in proceedings under Chapter 2 (§ 25.1-200 et seq.) of Title 25.1. By consent of both parties of record, the petition may be dismissed at any time before final judgment on the appeal. The authority or the city may appeal any judgment of the Court of Appeals rendered pursuant to this section to the Supreme Court. If the Supreme Court grants the petition for appeal, the appeal shall be heard consistent with the procedures set forth in this section. By consent of both parties of record, the petition may be dismissed at any time before final judgment on the appeal.