In addition to the power conferred upon the Attorney General in this article, the Governor or the General Assembly is authorized likewise to make investigations, including investigations of the Department of Law or the offices of the Attorney General or any agency under his control, and all authority and rights granted to the Governor and the General Assembly shall be as complete and absolute as those granted to the Attorney General. In any civil or criminal action against the Attorney General, the Governor shall designate a district attorney who shall be authorized, in such case, to act for the state.