If, while the licensee is still a minor, the Administration receives from the individual who cosigned the license application of the minor a written request that the license of the minor be canceled, the Administration:
(1) Shall cancel the license; and
(2) May not reissue the license until:
(i) Another qualified adult cosigns and certifies an application as required by § 16-107 of this subtitle; or
(ii) The minor becomes an adult.