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Pierce Point Two Cylinders

I am trying to pierce the larger highlighted cylinder with the smaller highlighted cylinder and the pierce point ("PNT_F_PIERCE") is showing up on the wrong side of the larger cylinder. Can anyone please explain a simple fix? The small hole is an autocylinder and the large ID is a constructed cylinder from points.

I'm just trying to level (and translate 2 axis) to the large cylinder and then rotate (and translate the remaining axis) to the small hole. Maybe I shouldn't even bother creating a pierce point? I figured that would be more accurate/repeatable than rotating to a short hole, though. Especially because that hole is threaded.

I think it matters which side of the large cylinder is pierced because if the hole was crooked then the constructed point would extrapolate father...

Neutral face