This is not an unusual situation, so the IRS is aware of it, and TurboTax has a way to work around it.
When you enter your 1098-T in TurboTax, under the Box 1 entry, check the link that says 'this is not the amount I paid to the school' and enter the full tuition amount.
OR, as you proceed through the education interview, you'll get a screen asking 'Did Aid Include Amounts not Awarded for 2023 Year?'. You can say YES here, and enter the correct Aid Amount for 2023 (half of what is on 1098-T).
Either method will adjust your Tuition/Financial Aid amounts to match for the 2023 year.
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