It seems pretty straight forward. You do what the IRS states based on how the situation meets the requirements.

Because the IRS doesn't have this: "but if both parents agree can she claim the kids for the Child Tax Credit"

The CTC is something you need to qualify for. It's not a Gift. It's a provision.

"I have to answer yes and when I do it says stop the taxpayer cannot use that child to claim the child tax credit."

Well, that's why you work through the details.