Patricia Nichols took out a $$329,081\mathrm{.}44$ simple interest loan at $13\mathrm{.}50\%$ for $30$ years with a monthly payment of $$1,602\mathrm{.}64.$ After $359$ payments, the remaining balance on the loan was $$1,932.$ If Patricia pays off the loan on the last payment, how much interest would she save? $($DO NOT ROUND ANY INTERMEDIATE CALCULATIONS$)$