In case any applicant has been denied a license, or if his or her license has been suspended or revoked, the applicant or licensee shall within ten business days have the right to appeal to the Legislative Authority from such denial, suspension or revocation. Notice of appeal shall be filed in writing with the Fiscal Officer or other authorized official who shall fix the time and place for a hearing which shall be held not later than 21 days thereafter. The Fiscal Officer shall notify the Mayor and all members of the Legislative Authority of the time and place of such hearing not less than 24 hours in advance thereof. Three members of the Legislative Authority shall constitute a quorum to hear such appeal. The appellant may appear and be heard in person or by counsel. If, after hearing, a majority of the members of the Legislative Authority present at such meeting declare in favor of the applicant, the license shall be issued or fully reinstated as the case may be; otherwise the order appealed from shall become final.