Lyndon's employer withheld $$8,800$ in state income taxes from Lyndon's wages in $2023.$ Lyndon obtained a refund of $$1,700$ this year for overpayment of state income taxes for $2022.$ State income taxes were an itemized deduction on his $2022$ return. His $2023$ liability for state income tax is $$8,500.$

Indicate the amount of Lyndon's deduction for state income taxes on his federal tax return assuming he elects to deduct state income taxes for $2023.$

fill in the blank $1$ of $1$$