If you must appear to cooperate, feign it, but don't take it to heart. Your purpose is to favorably leverage yourself against everyone else, so you must not let any slights go unpunished, lest you be put in a position of weakness relative to your rivals. If someone has the nerve to cross you, get fired up. Positively explode with rage. This works wonders with regard to quelling dissent in your group, as it creates the necessary fear which is the grease that keeps an authoritarian machine running smoothly.
Autocrats are a humorless breed.
They take themselves very seriously, and if you laugh at them, they will hate you for it. When you are no longer useful to the authoritarian, you are bad. Ergo, anything which they cannot use, manipulate, twist, or distort, is useless, and must be done away with entirely.