Suppose you take a $10-$year mortgage for a house that costs $$292,770.$ Assume the following:

The annual interest rate on the mortgage is $3\mathrm{.}3\%.$

The bank requires a minimum down payment of $8\%$ of the cost of the house.

The annual property tax is $1\mathrm{.}6\%$ of the cost of the house.

The annual homeowner's insurance is $$693.$

The monthly PMI is $$69.$

Your other long$-$term debts require payments of $$1,286$ per month.

If you make the minimum down payment, what is the minimum gross monthly salary you must earn in order to satisfy the $36\%$ rule?

Round your answer to the nearest dollar.