If the Department denies an application for participation in the Program or denies services as provided in Section 2-8, the Department shall give written notice of the denial to the person who signed the application. The person who signed the application may appeal the Department’s denial within 20 days after receipt of the Department’s written notice by mailing a written appeal request to the Department. The Department’s denial of an appeal shall constitute a final administrative decision. Final administrative decisions shall be subject to judicial review exclusively as provided in the Administrative Review Law, as now or hereafter amended, except that any petition for judicial review of a final administrative decision by the Department under this Article shall be filed within 30 days after receipt of notice of the Department’s final administrative decision. The term “administrative decision” has the meaning ascribed to it in Section 3-101 of the Code of Civil Procedure, as now or hereafter amended.