Years ago, I had a board game called "Imperium Romanum" that covered the same period of time. I played the Eastern Empire a lot.
I tried to juggle and balance the first couple of games, then realized my problems would be a whole lot simpler to solve if the Sassanid Empire was wiped out first. It was always threatening to declare war on me. You had to roll a die for it every turn. If I wiped it out instead, conquering the rest of the map was a snap.
The same preemptive plan might work here.
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