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Margo has $$2,200$ withheld from her wages for state income taxes during $2022.$ In March of $2022,$ she paid $$300$ in additional taxes for her $2021$ state tax return. Her state income tax liability for $2022$ is $$2,700,$ and she pays the additional $$500$ when she files her $2022$ state tax return in April of $2023.$ What amount should Margo deduct as an itemized deduction for state income taxes on her $2022$ federal income tax return, assuming she deducts state and local income taxes?

a$.$ $$2,500$

b$.$ $$2,700$

c$.$ $$2,200$

d$.$ $$2,600$