This isn't greatly helpful in designing a test of any sort. Whatever the outcome, you could simply argue that God didn't "want" to do it. Can he make the lights flicker? Of course, according to you, he has that ability. But would he make the lights flicker? According to your definition, maybe or maybe not. So, if I created a test whereby God had a 10 minute window to make an electric light flicker, it's not really a very good test. No matter what happens, you still get to claim your definition of God has at least not been disproven.
But then there's the problem of logic. There are certain things that cannot be done. Classically, we might ask if God can make a rock so heavy he cannot lift it. Can God inhabit the exact same space as a particular proton in an atom of tungsten? Everything we've been able to scientifically observe says no. Can he change the gravitational force of an object? Once again, observation says no.
Whatever your God wants to do, it appears that so far he wants to set into motion a series of laws regarding energy and matter and then sit back and never interfere with them in any way.
Can you, using your definition, create a repeatable test that (if positive) definitely shows the existence of God?
Remember, I don't have any desire to definitely show the non-existence of God. I'm not sure I could definitely show the non-existence of anything. Whatever test we undertake should be yours.
What test do you suggest we do?