Must 1099-R Box 15 State match my TurboTax entry?

I moved from North Carolina to New Jersey at the end of June 2023. My pension tax paid should be split evenly between the two states. However, Met Life sent me Form 1099-R with Box 15 State/Payer as NC. (Box 14 is blank – no state tax was withheld.) In TurboTax, can I simply add NJ as the Second State? (I have the NJ state no.) Or must I request an updated (or second) 1099-R from Met Life showing NC and NJ?