If you indicated in the Adoption Credit interview that you had no expenses in 2021, that the adoption was completed in a prior year, and that you had prior year expenses, you should get a credit for only the Carryover Amount on your 2021 return, as you mention.
This will show on Schedule 3, Line 6c as well as Line 16 on Form 8839.
If you're using TurboTax Online, you could delete Form 8839, (and the worksheet), close TurboTax, clear your Cache and Cookies and step through the adoption interview again.
When I tested this, only the Carryover Amount was reported on Form 8839 and Schedule 3.
@HokieSuz
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