At 13.4 billion years into the Universe, you'll have hit 3.8 cycles. This will put you in Red Giant Stage, with 150% Might Production. You will be staying this way until you hit 15 billion years of age, which if we decide to build sentients and we won't reach. I can work with this. You spent Turn 2 going through 3 cycles, so spent 3 of your 5 Might. From Turn 3 onwards, if things go to plan, there won't be any time-skips large enough to take you to your next cycle, so you'll be staying as you are.
I'll run the simulations and get back to you.

P.S. Your multiplier applies to Holy Sites too, doesn't it? Or only level-based Might production?