Knowing the Rules
Once you've identified the rules that govern your team, the field of possibilities opens up dramatically. You are then well-positioned to make rational calculations of loss and benefit. You can decide which rules to follow, when to break them, and how to amend them in your favour. The best changes raise the score for your whole team.
Fake Friends are an expert at using kind words to send poisonous messages. Make sure not to confuse a fake friend with an Orphan. Orphans are struggling with a great setback. But fake friends usually feel very comfortable in their skin. They are highly functional and political. They seek the company of others, knowing that any mean words will be likely be delivered by them, rather than to them.
Having a fake friend on your team can be an asset: they help teams to maintain clear status relations, which promotes stability for the core members. Unfortunately, they require a teammate to play Victim. If the victim doesn't agree to play, then the fake friend will enjoy the pleasure of executing the victim - even though the victim may, in a quiet way, be one of the most valuable members of your team. This bias for execution games makes the fake friend a poor choice for Team Leader. Usually, they gravitate to the HR department. Or perhaps they are trained there...
Changing the Rules
If a fake friend is running the team, then the easy answer is Join Them, or Leave. But if a fake friend already tagged you as a perfect fit for victim de jur, then it could be an opportunity for you if you stay. Fake Friends are really good at identifying people's buttons. What would happen if you found a way to accept this lesson, and to study the sting? For one lady, a process like that led to her promotion.