A sensible thing to consider. You are effectively dealing with an outcome pump, after all; the problem leaves plenty of solution space available, and outcome pumps usually don’t produce an answer you’d expect; they instead produce something that matches the criteria even better then anything you were aware of.
Regardless of whether the third one is plausible, I suspect Omega would know of some hack that is equally weird and unable to be anticipated.
A sensible thing to consider. You are effectively dealing with an outcome pump, after all; the problem leaves plenty of solution space available, and outcome pumps usually don’t produce an answer you’d expect; they instead produce something that matches the criteria even better then anything you were aware of.