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And how does Final Heaven's technology fair against high end geniuses like Luthor or Brainiac?

https://i.imgur.com/umqxMT4.jpg
https://i.imgur.com/3FgyRCw.jpg
https://i.imgur.com/HKg5gzG.jpg

if we take milk wars into canon, the final heaven should be beyond overvoid

I would assume in the Overvoid, as Final Heaven seems to be a sort of buffer between the real world and the fictional world... It's about as meta as it gets.