Your employer offers a $401(k)$ plan with a $29\%$ match, and you set a goal of retiring in $28$ years with an amount of money which has the same buying power that $1\mathrm{.}3$ million dollars has today. If the account earns an annual interest rate of $1\mathrm{.}3\%$ and the expected annual rate of inflation is $1\mathrm{.}4\%,$ how much should YOU contribute each month to the $401(k)?$

Round your answer to the nearest dollar.