The Board of Pardons and Paroles shall grant an absolute pardon to any person who applies for such pardon with respect to a conviction of a violation of subdivision (4) of subsection (a) of § 53a-61aa or subdivision (3) of subsection (a) of § 53a-62, if (1) such person committed such offense prior to attaining the age of eighteen years, (2) at least three years have elapsed from the date of such conviction or such person’s discharge from the supervision of the court or the care of any institution or agency to which such person has been committed by the court, whichever is later, (3) such person has no subsequent juvenile proceeding or adult criminal proceeding that is pending, (4) such person has attained the age of eighteen years, and (5) such person has not been convicted as an adult of a felony or misdemeanor during the three-year period specified in subdivision (2) of this section.