The absurd claim is “there is nothing you ought to do or ought to not do”. The claim “life is tough” is not absurd. ETA: existentialism in the absurdist flavor (as opposed to for example the Christian flavor) is a form of value anti-realism which is not nihilism. It denies that there are values that could guide choices, but puts intrinsic value into making choices.
The absurd claim is “there is nothing you ought to do or ought to not do”. The claim “life is tough” is not absurd. ETA: existentialism in the absurdist flavor (as opposed to for example the Christian flavor) is a form of value anti-realism which is not nihilism. It denies that there are values that could guide choices, but puts intrinsic value into making choices.