Mary plans to have $$250,000$ for her child's college education in $15$ years. She currently has $$30,000$ saved, and expect to make a one$-$time withdrawal of some money for a vacation in $6$ years. If she can save $$7,000$ annually at the end of each year into the savings account, what the the maximum amount of money she can withdraw for the vacation in year $6$ while still ensuring she reaches her savings goal $($$$250,000$ in $15$ years$)?$ The account offers an annual interest rate of $8\%.$