Well, I have been doing this for a couple of years now. I brush my teeth before eating in the morning because apparently that’s better for your teeth, otherwise you might damage enamel. Or you wait for at least 30-60 minutes, but nobody’s got time for that. Just rinsing with water after eating is fine.
Truth is I usually don’t eat breakfast, so I don’t have to think about it. But when I do, it’s this order for me now.