Amendments. Amendments of an appeal by the applicant may be permitted at any time prior to or during the public hearing, provided that no such amendment shall be such as to make the case different from its description in the notice of public hearing. If the amendment is requested by the applicant after public notice of the hearing has been given and such amendment is at variance with the information set forth in the public notice, the applicant shall pay an additional fee as set by the Common Council to cover the cost of amending the public notice. If the amended notice can be published within the time frame specified for the public hearing, the hearing on the amended appeal may be held on that date. Otherwise, the Chairperson shall announce that the hearing originally scheduled on the case will be deferred to a future meeting, before which appropriate public notice will be given, and will state the reasons for the deferral.