Within 30 calendar days after the recording and mailing of a personnel appeals board order in appeal cases provided for in RCW 41.06.170(2), the employee may appeal to the Thurston County superior court as provided in RCW 41.64.130. The grounds for the appeal shall be stated in a written notice of appeal filed with the court, with copies thereof served on a member of the board or the executive secretary and on the employing agency, all within the appeal period.