I was incorrect and thank you for confirming I needed to manually enter the multiple state extension payments in the Federal Tax Payments Worksheet ("Line 9, Amount paid with 2022 extensions:
State amounts, paid with extensions must be entered manually."). I also added a support statement reflecting each individual extension amount. The state ID I used is XX ("State ID: If you'll be using our state tax software and filing a non-resident or part-year resident state return, you MUST enter the state code for the state to which this payment was credited. If a payment amount includes amounts paid to more than one state, enter 'XX' as the state ID. This amount will be used in the Federal tax return, but may need to be reentered on the appropriate state return.").
