$(15$ points$)$ Jerry and Gerry plan to buy a townhouse for $$350,000.$ They would make a $$30,000$ down payment and finance the rest with a $30-$year loan at $2\mathrm{.}4\%$ interest. Pr$$perty taxes are $$12,800$ per year, homeowners, insurance is $$1620$ per year, and PMI would be $$60$ per month.

What will their total monthly PITI payment be for the townhouse?