Any person or entity injured or aggrieved by any procedure or action of the department with respect to aeronautics may appeal to the California Transportation Commission for relief, and the decision of the commission as to such matter shall, after hearing thereon, be conclusive, subject to such review as may be otherwise provided by law. This section shall not apply to any procedure or action for which a hearing pursuant to Chapter 5 (commencing with Section 11500) of Part 1 of Division 3 of Title 2 of the Government Code is specified in this part as the means for reviewing or finalizing the procedure or action.