Clerical mistakes in decisions or parts of the record and errors arising from oversight or omission may be corrected by the department at any time on its own initiative or on the request of any party. During the pendency of an appeal to the judicial system, such mistakes may be corrected before the official record is transmitted to the district court, and, thereafter, while the appeal is pending, may be corrected with leave of the appellate court.
N.M. Admin. Code § 11.3.500.15