It shall be the duty of the Kellogg City Clerk/Treasurer to provide notice of the enactment of this article by mailing a true and correct copy thereof, by first-class mail, postage prepaid, to the licensed premises existing in the City of Kellogg at the time of the enactment of this article. Any premises licensed after the enactment of this article shall be deemed to have notice by virtue of the publication of this article as required by law, and this provision shall not be construed as to require the Kellogg City Clerk/Treasurer to provide specific notice to any premises that may be licensed after the enactment of this article.