A state tax refund from filing the prior year's taxes would only be taxable if there was a tax benefit - i.e., you took an itemized deduction for taxes paid. Since your daughter's return for 2021 took the standard deduction, then she didn't deduct the taxes on her 2021 return and the refund isn't taxable for 2021.
Enter a 2021 refund in the 2022 TurboTax program and TurboTax will confirm whether it's taxable.
See this help article for more information.
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