This will be unproductive. Examining what goes on in a natural mind that we do not understand to any great degree will not give you anything that can be implied to what an infinate, perfect, and supernatural mind must do or not do. That would be like looking at how a lever works and extrapolating any principles observed to electron oscillation. There is no way to know if God's thought processes require time as we know it.
The same goes for us knowing what time and space is. Don't assume time and space is understood because you have a clever paradox based on a classical view of "time".
Some are suggesting that time itself breaks down on quantum level. Meaning, "time" is an illusion rather than a reality.
Or put it this way, you say that we don't know what a mind is or how it works or how god's mind works etc, but yet the way we experience time is through our minds. So if the mind is something else than you think, then time is experienced by something we don't understand.
Besides, it's not logically defensible to argue that "we don't know God's mind" as a premise for an argument that God exists. You must start with assuming no attributes to God.
I did ask you, do you think God can think and reason, and your answer was yes. Your answer now suggests no.
I will have to get out of this quote screen to access the link so I will not comment on it now. I will only say there exists nothing in philosophy to indicate a mandatory end to time once started that I am aware of but will look into the link.
A paradox is a paradox. Why should paradoxes only apply when convenient?
Do you know anything about fractal geometry? For instance the concept of an infinite border but finite area fractal curve? Time and space could be something multidimensional fractal. We don't know. To assume something based on our very limited human knowledge doesn't mean that all other assumptions are wrong. Assuming is assuming. Guessing is guessing. Throwing paradoxes around for fun won't convince anyone.
The only thing you're proving is your own God, your own definition of your God.