That’s what you should do if you are taking it later than the application open date, yes.
Submit everything and then that should be verified so the only thing left will be your DAT score. Some schools will accept the preliminary score so make sure to upload that when you get the score back so your app can get looked that.
But otherwise you’ll have to wait until the score gets verified before schools will look at your app. Assuming late July/early August if they take 3-4 weeks. Hopefully it’s 2.
Good luck!