I experienced the exact same issue. After 2 months in an out of the first dealership (they couldn't resolve), went to second dealership who replaced both batteries. That lasted a week. Finally they were able to detect bad wiring in the wiring harness behind the dash. Replaced under warranty...
My 2022 Lariat PB is experiencing the same problem. Been in and out of the dealer since early January and they have not been able to solve the issue. Any solutions would be appreciated.