If nobody knows exactly how, then "at random" sounds about right and the results should be treated as such.
That is, in this case, it should not be used to influence decisions that can start a war.
People will just roll their eyes at you and say "the human mind is nothing but a dice roll too" and call you a slope-headed neanderthal before continuing apace.
I agree wholeheartedly about your second sentence, but
“we made this artifact and don’t know why the thing it does looks spookily like cognition”
and
“this artifact makes decisions at random”
are obviously distinct categories and pretending otherwise is silly.