Angels and theophanies are hard to distinguish in the OT. It's possible modalism was taking place distinct from the incarnation. But I think since God is outside of time it was probably Jesus' incarnate body. I know Catholics would agree with me based on what they think about Melchizidek
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I favor this view although it’s not the historical Roman or Greek position. Rome follows Augustine in saying they’re created visual miracles. The Greeks usually attribute them to the Divine Energies, or uncreated Acts of God, which is articulated in St Maximus and Gregory of Palamas.
Oh, interesting, the Orthodox view sounds really interesting.
True. What do Catholics think about Melchizedek? I'm not familiar with that. My view is that he might have been a Christophany.
From what my Catholic friend told me the food he gave Abraham was Jesus' transubstantiated body. I'm not sure who they think Melchizedek was, but that demonstrates that they think Jesus' physical body can travel through time and violate causality.
Yeah, I've heard of the bread and wine that Abraham and Melchizedek shared being called "communion" or the Eucharist, but of course since Catholics believe it is Jesus' actual body that would make for some weird theology!
The only take on Melchizedek that I'm familiar with is that the bread and wine were a prefigurement of the Eucharist. I haven't heard anyone say it was itself the Eucharist.
A good example is Moses' theophany in Exodus, where God passes by and let's Moses see His back. It's hard to say for sure, but personally I suspect Moses saw Jesus in anticipation of the Incarnation.
The coolest theological speculation I've heard is that Moses' theophany, Elijah's encounter with the "still, small voice," and Jesus' Transfiguration were all the same event, transcending time and space.
That’s some marvel cu stuff right there lol
Here's a question for you:
In what way does time exist, do you think? Does only the present truly exist? Does the past continue to exist after it happens? Do past, present, and future all exist at once within some larger substrate?
Never thought much about it or studied it
My current conception lol 
At Jesus' Transfiguration Moses did see Jesus in anticipation of His death, which interestingly Luke calls His "exodus" in the Greek (Luke 9:31).
And Moses is later identified as a type of Christ. Jesus fulfills the Exodus by leading us out of spiritual slavery to sin.
And yet no type is as complete as the Antitype, Jesus. Moses, for example, couldn't lead God's people into the Promised Land; that was left for Joshua ("Jesus," in the Greek), to do, who was also a type of Christ. This shows that the Law of Moses (and the Jewish faith) would only get you so far.