The Department of Consumer Protection shall refuse permits for the sale of alcoholic liquor to the following persons: (1) Any state marshal, judicial marshal, judge of any court, prosecuting officer or member of any police force; (2) any minor; (3) any constable who (A) performs criminal law enforcement duties and is considered a peace officer by town ordinance pursuant to the provisions of subsection (a) of section 54-1f, or (B) is certified under the provisions of sections 7-294a to 7-294e, inclusive, and performs criminal law enforcement duties pursuant to the provisions of subsection (c) of section 54-1f; and (4) any special constable appointed pursuant to section 7-92. This section shall not apply to any out-of-state shipper’s permit issued under section 30-18, 30-18a or 30-19, any cafe permit issued under section 30-22a, any boat operating under any in-state transporter’s permit issued under section 30-19f, or any airline permit issued under section 30-28a. As used in this section, “minor” means a minor, as defined in section 1-1d or as defined in section 30-1, whichever age is older.