If, before June 29, 1994, a building permit has been lawfully issued, as set forth in paragraph (a) of Section 11-31, to a person with a possessory interest in a zoning lot authorizing construction, such construction may be started or continued for a period of one year pursuant to the regulations governing R6A, R6B, R7A, R7B, R7X, R8A, R8B, R8X, R9A, R9X or R10A Districts or Commercial Districts with such Residence District bulk regulations, or in any other district in which such construction complies with the Quality Housing Program, prior to the adoption of N940257 ZRY - Quality Housing Follow-Up Text Amendments.