Just keep in mind the deadline for the DHS and PTA scholarship is Dec 5, before Tulane’s deadline to notify the students. If her essay was that demonstrative of her interest in Tulane, then I would operate under the assumption they will accept her and get the scholarship applications done. There is too much money at stake to do otherwise, IMO.
Just FYI, not actually their first time for the Common App. They took it for a while, dropped it for the Universal App, and now have switched back.