After you file

Yes, Schedule P and Form 3804-CR need to be updated by TurboTax so I don't think simply overriding Line 43 on CA From 540 will work.  Also, to the extent it is relevant, I believe California also changed the credit ordering rules for 2021 in a way that will impact the other state tax credit.  I think there are too many changes for a simple fix and think the best course of action is to wait to file until TurboTax has updated its forms, which probably means needing to file California on extension.