The first answer is only how to report it on your federal return as an itemized deduction (if you itemize). You can't get the extra state payment refunded on a 2022 return. You need to get it back directly from the state. They should automatically see you paid twice and send it to you. You need to call the state about it.
Do you have proof you paid it twice? Did it actually come out of your bank account twice? Double check your state return and cover sheet to see how you were suppose to pay it. Many people don't realize they were suppose to pay state on their own either with a check or online at the state.
