In $2023,$ Nithya lost her job when her employer had to close their business. Because Nithya is struggling to pay her monthly expenses, she arranges a decrease in her mortgage from $$180,000$ to $$120,000$ with her mortgage lender. Her basis in the home is $$220,000,$ and the fair market value at the time of the mortgage reduction is $$280,000.$ What amount of the cancellation of debt must Nithya include in her income in $2023?$

a$.$ $$30,000$

b$.$ $$0$

c$.$ $$60,000$

d$.$ $$45,000$