Except as provided in this section for an action under § 12–313 of this subtitle or § 12–6B–09 or § 12–6D–11 of this title, any person aggrieved by a final decision of the Board in a contested case, as defined in the Administrative Procedure Act, may petition for judicial review as allowed by the Administrative Procedure Act. Any person aggrieved by a final decision of the Board under § 12–313 of this subtitle or § 12–6B–09 or § 12–6D–11 of this title may not appeal to the Secretary but may take a direct judicial appeal as provided in the Administrative Procedure Act.