If all of you live together then only one of you can claim the child and get the child-related credits. Splitting the credits is sometimes done when the parents are divorced or never married and live APART and share custody of the child per a written agreement. One of you claims the child, maybe even files as Head of Household and gets the child tax credit and childcare credit. The other parent does not enter the child on their tax return--and files as Single.
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