You are planning to retire in $35$ years $($t $=35).$ After retirement, you need annual withdrawals of $$80,000$ from your retirement for the next $25$ years. The first withdrawal will be made one year after retirement. Suppose that your retirement account can earn $3\%$ APR. If you decide to make annual deposits to the account from the next year $($t $=1)$ until retirement $($t $=35),$ how much should you save each year?

Note: Write your answer with $2$ or more decimal places