Each party, including the properly designated representative of the department, shall be promptly given a copy of the decision and the supporting findings and conclusions of the department. The decision is final unless a party initiates judicial review by filing an appeal in the superior court as provided in the Rules of Appellate Procedure of the State of Alaska. For the purpose of judicial review, an appeal tribunal's decision from which an application for appeal has been denied by the department is considered the decision of the department, except that the time for initiating judicial review runs from the date of the mailing or delivery of the notice of the denial of the application for appeal by the department.