After you file

Yes, you should file an amended California return.  According to Amend a Return, "If you discover an error on a previously filed return, you should file an amended return and pay any additional tax or fee due, including interest."

 

See the TurboTax Help article How do I amend a California state return in TurboTax Online? for guidance.

 

See also the 2023 Instructions for Schedule X.