Margo has $$2,200$ withheld from her wages for state income taxes during $2021.$ In March of $2021,$ she paid $$300$ in additional taxes for her $2020$ state tax return. Her state income tax liability for $2021$ is $$2,700$ and she pays the additional $$500$ when she files her $2021$ state tax return in April of $2022.$ What amount should Margo deduct as an itemized deduction for state income taxes on her $2021$ federal income tax return, assuming she deducts state and local income taxes?

a$.$ $$2,200$

b$.$ $$2,600$

c$.$ $$2,500$

d$.$ $$2,700$

e$.$ None of these choices are correct.