$3(30$ points$).$ Black Mountain Financial wants to buy Park Estates for $$26,000,000.$ Next year $($year $1),$ Park Estates is expected to have potential gross income of $$5,800,000$; effective gross income of $$3,400,000$; and net operating income of $$2,300,000.$ Artistic Financial Bank makes commercial real estate loans that involve up$-$front fees of $2\mathrm{.}00\%,$ mature in $6$ years, have a fixed annual interest rate of $4\mathrm{.}56\%,$ and are partially amortizing with a balloon payment of $$15,000,000$ at maturity. Lastly, the bank requires that the debt coverage ratio at origination be at least $1\mathrm{.}30.$ Note that the points are the only up$-$front fees associated with the loan.

a$.$ What$$s the largest loan that the Black Mountain Financial could get from the bank? Round your answer to the nearest dollar and write it in the box.