Mrs Louisse Dixon is $22$ years old and has just made her first contribution of $$3,000$ into his BankEast Retirement Savings Account which pays interest of $12\%$ p$.$a$.$ compounded quarterly. She plans to make a $$3,000$ deposit every year until she retires at age $67($inclusive$).$ If Mrs Dixon expects to live off her retirement savings for $30$ years, how much can she afford to withdraw from her BankEast Retirement Savings Account at the end of each year after she retires?

Group of answer choices

$$590,119\mathrm{.}89$

$$707,905\mathrm{.}27$

$$526,288\mathrm{.}17$

$$628,402\mathrm{.}10$

$$558,838\mathrm{.}91$