David and Renee purchased a house. They took out a $30-$year mortgage with an APR of $8\mathrm{.}3\%$ for $$200,000.$ The loan start date was January $2022.$ Their monthly payment is $$1,510$ a month. They would like to pay off their house early and are able to budget to pay an extra $$250$ a month to the principal amount of their loan. Renee would rather just write out one check of $$3,000$ for the principal in December every year. David wants to write out a $$250$ check for the principal each month. If David and Renee decide to follow Renee's method and only write out the check for $$3,000$ in December of each year, what is the total cost of the loan? Round to the nearest dollar. Type your answer...