I found a (hacky) solution to this:
In the debug options, go to character editor and remove your penis. When you exit the editor, the cage is still there. Then you can do the normal experiments with Eliza and after that the cage is gone. Maybe other events work as well, idk. After that, go to the character editor and add back your penis.
I had to do this after the obedience training bugged out on me and no further events were occurring.