Alex has $5$ vouchers that can be used for a free pastry at \text{The Daily Crumb}. To make them last, he plans to use one every $13$ days until they are all gone. He knows \text{The Daily Crumb} is closed on Fridays, but as he circles the $5$ dates on his calendar, he notices that no circled date falls on a Friday. On what day of the week does Alex use his first voucher?