Except as provided in subsection (b) of this section, a 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. A person aggrieved by a final decision of the Board pursuant to § 8–6B–19 of this subtitle may not appeal to the Secretary but may take a direct judicial appeal as provided in the Administrative Procedure Act. An order of the Board may not be stayed pending review.