As you note in your question, your child's APF income can be reported either your return, or their own, depending on the circumstances.
See the TurboTax Help article Where do I enter my 2022 Alaska Permanent Fund Dividend (Alaska PFD)? for guidance. It describes how to create Form 8814, if that's what's needed.
It's a fairly straightforward procedure, but be sure to read the entire article before starting.
