During $2023,$ Mark's employer withheld $$2,000$ from his wages for state income tax. Mark claimed the $$2,000$ as an itemized deduction on his $2023$ federal income tax return. His total itemized deductions for $2022$ were $$16,000($the $2023$ standard deduction was $$13\mathrm{.}850).$ Mark's taxable income for $2023$ was a negative $$25,000$ due to substantial business losses. Mark received the $$2,000$ as a refund from the state during $2024.$ What amount must Mark include in income in $2024?$

$$0$

$$1,000$

$$2,000$

$$6,000$