In exercising its authority under Subsection A.1, the Zoning Board of Adjustment may reverse or affirm, in whole or in part, or modify the administrative official’s order, requirement, decision, or determination from which an appeal is taken and make the correct order, requirement, decision, or determination, and for that purpose the Zoning Board of Adjustment has the same authority as the administrative official. The Zoning Board of Adjustment’s decision shall be deemed filed in the City Secretary’s Office on the first business day following the date on which action was taken by the Zoning Board of Adjustment.