GR translation: in some irreducible way

[Mike Jing]

V364.27-32, P370.16-21   But what you’ve done is put yourself on somebody
else’s voyage—some Frau Holda, some Venus in some mountain—playing her,
its, game . . . you know that in some irreducible way it’s an evil game.
You play because you have nothing better to do, but that doesn’t make it
right. And where is the Pope whose staff’s gonna bloom for you?

What does "in some irreducible way" mean here?