I have wanted to be the Boxer; I too cannot comprehend what could convince someone to unbox (Or rather, I can think of a few approaches like just-plain-begging or channeling Phillip K Dick, but I don't take them too seriously).
Think harder. Start with why something is impossible and split it up.
1) I can't possibly be persuaded.
Why 1?
You do have hints from the previous experiments. They mostly involved breaking someone emotionally.
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