The official policy of Alcoholics Anonymous (as laid out in the Big Book) does not specifically close the door to dating in the early period of sobriety, but abstaining from relationships is an integral part of the conversation.

Do narcissists cheat?

Do All Narcissists Cheat? Short answer: no, not all narcissists are cheaters. But Narcissist Personality Disorder (NPD) does make someone far more likely than the ordinary person to be unfaithful to their partner. Similarly, you cant say that all cheaters are narcissists.