State tax filing

The W-2c shows the correct distribution (all income in one state, and none in the other). However, the correction was not made until after the state's tax due date, so I did not get this money refunded in my usual pay statement. Based on this, it sounds like I should go ahead and file the information in my W2 (not W-2c) and also file as a nonresident in the additional state. Would you agree with this?

 

My company has given me the following instructions: "Since this adjustment was made in January 2025, Payroll had to create a W2-C to adjust your prior year earnings. The state taxes, however, have already been paid out to the state since this adjustment was not made prior to December 31st. We strongly advise that you file for your tax return in [the additional state] so that you may receive a refund for these taxes that you had paid."