per IRS PUB 503 page 4 to be a qualifying person, your child, for these credits you must be the custodial parent. the tax laws do not recognize what you agreed to. The custodial parent is the parent with whom the child lived for the greater number of nights in 2022. If the child was with each parent for an equal number of nights, the custodial parent is the parent with the higher adjusted gross income. For details and an exception for a parent who works at night, see Pub. 501. The noncustodial parent can't treat the child as a qualifying person (for these credits) even if that parent is entitled to claim the child as a dependent under the special rules for a child of divorced or separated parents. Thus, if you are not the custodial parent all you will get is the dependent credit and to get that you must get a sign form 8332 from her which must be included with your return.
if you are the custodial parent then, she has to amend her return to eliminate the 2441 and the HOH filing status.
