Since you lived in two states in 2024, you will file two part-year resident returns. It does not matter which one you do first in this situation since you will prorate your income between the two states.
To prorate your pension distribution between the two states, use the amount reported on your Form 1099-R without considering the taxes that were withheld. As you go through the state return, TurboTax should show you the Federal amount that was reported. You can use that number and just prorate it according to the number of months you lived in each state to show how much would be taxable to the state return you are working on.
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