The Form 1099-G for tax year 2022 is reporting the state tax refund you received from your 2022 state tax return.
The state tax refund from 2022 would have been received during tax year 2023. If you took the Standard Deduction on the 2022 federal tax return then you do not have to report the 2022 state tax refund on the 2023 federal tax return.
There is nothing for you to amend on the California tax return.
