After the date of the final approval and cessation of all appeal periods, the applicant shall obtain signatures on the short plat Mylar from the King County assessor-treasurer. The applicant will then deliver the signed Mylar from the King County assessor-treasurer to the city planner and a prefilled check for recording with the King County auditor. The city planner will obtain necessary signatures and deliver the Mylar and the check to the King County auditor for final recording. The short plat shall not be deemed “approved” until so filed by King County. (Ord. 1190-21 § 2 (Exh. A), 2021; Ord. 1016-08 § 2).