If a party requests under law of this State other than this chapter a modification of an award confirmed under section 658J-16 or judgment on the award based on a fact occurring after confirmation:
(1) Unless otherwise authorized under state or federal law, the parties shall proceed under the dispute-resolution method specified in the award or judgment; or
(2) If the award or judgment does not specify a dispute-resolution method, the parties may:
(A) Agree to arbitrate the modification before the original arbitrator or another arbitrator; or
(B) Absent agreement proceed under law of this State other than this chapter governing modification of a judgment in a family law proceeding.