Divorced parents where non-custodial parent has right to claim child as dependent

Child lives with TP more than half yr.
both parents provided > half of child's support
Other parent has been given "exemption" by form 8332

For TP child is not a dependent but is qualifying person for

1. HOH (if TP not married and paid for > half the cost of keeping up the home)
2. EIC (if both have valid SSN)
3. Child and dependent care credit (if child is <13)

For non-custodial parent child is a dependent and a qualifying child for

1. CTC or credit for other dependents
2. Education credit
3. Premium tax credit