Compute the $2024$ tax liability $($after any available credits$)$ for Charlotte. Please indicate what tax credits and how much, if any, would be available to Charlotte. Charlotte $($age $40)$ is a surviving spouse and provides all of the support of her four minor children $($ages $4,8,11,$ and $14)$ who live with her. Charlotte also maintains the household in which her parents live, and she furnished $60\%$ of their support. Charlotte$$s father received $$2,400$ from a part$-$time job, as well as interest on City of Miami bonds in the amount of $$5,500.$ Charlotte earns $$120,000$ salary, has a short$-$term capital loss of $$2,000,$ and won a cash$-$prize of $$4,000$ at a church raffle. Charlotte reports itemized deductions of $$22,000.$