Alejandro is a married taxpayer, and he files a joint return. His adjusted gross income after deductions in $2023$ is $$250,000.$ The deductions that he needs to add back in for alternative minimum tax $($AMT$)$ purposes are $$6,000$ in state and local taxes and $$4,000$ in personal property taxes. Based on Alejandro$$s alternative minimum taxable income $($AMTI$)$ of $$260,000,$ he is entitled to subtract what amount of the AMT exemption to arrive at his final taxable amount?

A$.$ $$0$

B$.$ $$63,250$

C$.$ $$81,300$

D$.$ $$126,500$