The Commissioners of Correction and Motor Vehicles shall, within available appropriations, ensure that an inmate possesses a state identification card issued pursuant to section 1-1h or a motor vehicle operator’s license issued pursuant to chapter 246 at the time such inmate is released from a correctional facility after serving any part of a term of imprisonment for a misdemeanor or felony conviction, provided any such inmate (1) requests and qualifies for such identification card or license, and (2) pays any fee associated with obtaining such identification card or license.