Do you have to push the reset each time after it turns off?
If so then I would be very suspicious that flue or chimney might be plugged or restricted. If it were then it would cause white smoke to build up in the fire chamber which would leak out the inspection door. It would also obstruct the view of the flame reaching the electric eye and cause it to shut down on safety.
Oil burners are usually very easy to diagnose in person if you know the symptoms. But everyone of those symptoms are important for proper diagnosis.
Does the flame light immediately after when the burner starts?
Does the flame look good in the first couple of seconds?
Nope, it runs just fine. No button needed (and yes, I’ve used “that” button before when it caught me off guard and I needed a top off).