After owning his home for $4$ years, Braxton wants to refinance his mortgage interest rate from $5\%$ to $3\mathrm{.}75\%.$ If his current mortgage payment on his $20-$year mortgage is $$2,536\mathrm{.}72$ and he will refinance the unpaid balance for $30$ years, what is Braxton's new monthly payment $($in dollars$)?($Round your answer to the nearest cent.$)$