Any business or other establishment containing any amusement arcade as an incidental or auxiliary use, where the arcade was in existence and lawfully operating prior to October 4, 1982, shall be exempt from the requirements of this chapter until May 30, 1983, by which time any such business or other establishment shall either obtain a conditional use permit or otherwise comply with the provisions of this chapter, or terminate the nonconforming use. As used in this section, "incidental use" or "auxiliary use" means a use, secondary to the primary use or occupancy permitted on the property, and shall not mean the only use or occupancy of the property. Possession of, and compliance with, a conditional use permit for the operation of an amusement arcade issued by the city prior to the effective date of the ordinance codified in this chapter shall constitute compliance with the requirements of this section.