You're fine. Your score will most likely be verified the 1st week of August, and at the very latest, the 2nd week. Focus on acing the DAT so that the "lateness" of your app coming from your DAT being verified later is offset by your actual scores. If you haven't submitted your app yet, I'd submit it to at least one school so that your app's GPA verification process can start, because that takes time. Good luck!