The office of Public Counsel is hereby established to exercise the authority and perform the duties provided by sections 81-8,240 to 81-8,254, the Office of Inspector General of Nebraska Child Welfare Act, and the Office of Inspector General of the Nebraska Correctional System Act. The Public Counsel shall be appointed by the Legislature, with the vote of two-thirds of the members required for approval of such appointment from nominations submitted by the Executive Board of the Legislative Council.