Yes, you can do that, if you don't mind the extra hassle of filing an amended return yourself.
Note that the $500 credit is probably the Credit for Other Dependents (I assume your daughter is 17 or older).
And if I understand your situation, you will get some of your refund when you file the first time and even more when you file the second time, right? I just want to make sure that you don't spend all of your refund from the first filing if you may have to pay for the second.
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