Lloyd is chronically$-$ill and received tax$-$qualified long$-$term care insurance benefits in $2024$ amounting to $$9,100$ to cover a $30-$day nursing home stay. What amount, if any, must he include in income if actual nursing home costs for the $30$ days amounted to $$8,356$ and the applicable per diem limitation was $$410?$

A$)$ $$0$

B$)$ $$500$

C$)$ $$8,356$

D$)$ $$9,100$