Daniel borrowed $$20,000$ with a promise to repay the loan in $6$ years with a uniform monthly payment and a single payment of $$2,000$ at the end of six years at a nominal interest rate of $12\%$ per year. What is the amount of each payment?

Group of answer choices

$152\mathrm{.}42$

$202\mathrm{.}85$

$371\mathrm{.}87$

$571\mathrm{.}74$