The following procedures shall apply to the taking of appeals to the Personnel Board by employees who have taken or sought examinations for appointment to vacant positions in the classified service with respect to certain actions by the Director of Human Resources Management and/or appointing authorities with respect thereto, and by any former employee seeking reinstatement, reemployment, or reappointment. Whenever any employee has taken or sought to take a recruitment examination, as defined in Section 16-102(a)(45), or whenever any former employee is seeking or has sought reinstatement, reemployment, or reappointment, as the case may be, any such person shall be entitled to file a written notice of appeal with the Personnel Board with respect to any action of the Director of Human Resources Management and/or the appointing authority in interest with respect thereto, including, in the case of any such recruitment examination, actions pertaining to the methods of examination and the preparation of eligibility registers and certification therefrom, provided that: The written notice of appeal is filed with the Personnel Board by the aggrieved person no later than thirty (30) calendar days after the date the action or actions in dispute were taken by the Director of Human Resources Management and/or the appointing authority in interest; At the same time the written notice of appeal is filed with the Personnel Board, or no later than fourteen (14) calendar days after such notice has been filed, the aggrieved person additionally files with the Board, a separate written statement setting forth the person's specific allegations with respect to such actions and the relief sought by the person; and, The aggrieved person alleges, in such petition, that the action or actions giving rise to the appeal were clearly arbitrary and capricious or were illegal. The Personnel Board shall hear and decide any such appeal by any such aggrieved person in accordance with the provisions of Section 16-203.