A. Any applicant wishing to appeal the decision of the city manager in granting or denying an application for or a renewal of a cardroom license or the decision of the chief of police in denying an application for a work permit or imposing conditions on a license to the city council may do so by filing a written notice of appeal with the city clerk not later than ten (10) days after the date of the decision. Upon failure to file a notice of appeal within the ten (10) day period, the action of the city manager or chief of police shall be final and conclusive.