The director may propose rules for legislative approval in accordance with article three, chapter twenty-nine-a of this code, changing any license or stamp fee set forth in this article or in article two-b. All increases in license and stamp fees in this article set forth in rule shall be computed in a manner that indexes the increases to the Consumer Price Index (All Items) published by the United States Department of Labor rounded down to the nearest dollar: Provided, That no fee increase resulting from increases in the Consumer Price Index (All Items) may be made after January 1, 2021.