death | you are thinking of what the liar guard would say if he was asked what his partner would say he would say. it's a level deeper than what the question is actually asking. in reality, he would say the partner points to death, because he is lying about what he partner points to, which is freedom.
you can think of each guard as a function. there's one guard who always says the opposite of what's true, so we can represent him as o. there's another guard who always says what is true. we can represent him as i. so if you ask o a question whose answer should be 