Regina gets a monthly payment $30$ year Fully Amortizing, $\frac{7}{1}$ Adjustable Rate Mortgage. The initial teaser rate is $2\mathrm{.}75\%.$ The interest then resets to $250$ basis points above $1-$year CMT$.$ Right before the rate resets at the beginning of year $8,$ Regina's remaining balance is $$1292.$ The $1$ year CMT at the time of reset is $2\%.$ What will be Regina's new monthly payment in year $8?($e$.$g$.$ if the answer is $$2345\mathrm{.}123,$ write $2345\mathrm{.}12)$