Avery has a loan of $$7163$ to repay, with an interest rate of $8\%$ compounded quarterly. Avery planned to make $$175$ payments at the end of each month to repay her loan, but is considering only $$104$ per month. How many additional months will it take to repay the loan if she pays $$104$ per month instead of $$175?($Hint: Round each term in months up to a whole number before finding the difference.$)$