You receive a $4-$year $$29,000$ loan with an interest rate of $5\%$ p$.$a$.,$ to be repaid in four annual installments. The loan requires that you make total payments of $$6,000$ at t $=1,$ $$2,000$ at t $=2,$ and $$2,000$ at t $=3,$ with the remaining loan balance paid at maturity. What is the total payment amount at t $=4,$ rounded to the nearest dollar?