The Gatekeeper party may resist the AI party's arguments by any means chosen - logic, illogic, simple refusal to be convinced, even dropping out of character - as long as the Gatekeeper party does not actually stop talking to the AI party before the minimum time expires.

Those rules make it pretty clear that he did not break the spirit of the game. If you want to drop that, then let's get rid of silliness like predicting lottery numbers.

In their example conversation the box was an adequate safety measure. The AI did not get released.