In the event a claimant elects to prove his claim in ancillary proceedings, if notice of the claim and opportunity to appear and be heard is afforded the domiciliary receiver of this state as provided in Section 713 [59A-41-21 NMSA 1978] of this article with respect to ancillary proceedings in this state, the final allowance of such claim by the courts in the ancillary state shall be accepted in this state as conclusive as to its amount, and shall also be accepted as conclusive as to its priority, if any, against special deposits or other security located within the ancillary state.
NMS § 59A-41-20