As played pre, if you are going to lead the flop, pot it. With half pot, you look like a draw begging for a cheap card, so he could very well be doing that with AQ.
So now button could have AQ, AA, KK, QQ, AhKh, KhQh, QhJh, QhTh. He could even be doing it with some more KQ and more AhXh. I am not all that sure whether he raises 44 and 55 pre because he has set mining stats and a rather small PFR (what are his steal stats, and what is the third stat in your OP? ATS or AFq?).
So roughly I'd call it 50/50 equity, and there is a ton of dead money in the pot... On the other hand there are two other players still in the pot, and nobody knows why they are going to do.
In doubt, I probably fold and beat myself for the misclick.
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