Any appeal, request or application approved by the board, either under the provision of this chapter or under the authority granted to the board under the statutes of the State of Texas, shall authorize the issuance of a building permit or a certificate of occupancy, as the case may be, for a period of 90 days from the date of the favorable action on the part of the board unless the board in its minutes shall, at the same time, approve a longer period. If an application for such building permit or certificate of occupancy is not filed within the 90-day period or such extended period as the board may specifically approve, then the approval of the appeal or variance shall be deemed waived and all rights thereunder terminated. Such termination and waiver shall be without prejudice to a subsequent appeal, request or application to the board in accordance with the rules and regulations herein contained.