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You can add draft to the CutExtrude or do a Combine feature with the Subtract option. (model two bodies and subtract the other)
Add Draft to your Cut.
1. Loft cut to a point.
2. Extrude cut with draft.
3. Subtract a solid triangle from your solid you want the hole in.
Take your pick, just make sure your point doesn't end on a surface creating 'zero thickness geometry'.
I did it.