The child dependent credit, you would not get since not your dependent but if the child care is zero either way, there is more to this story.
Look at your 1040 line 16 tax. It is reduced by line 19 child care so that line 24 is closer to zero than line 16. You may not qualify.
References:
Child and Dependent Care Credit FAQs
Topic No. 602 Child and Dependent Care Credit
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