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.

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