The term "double bluff" is usually associated with deception or trickery. It is a tactic that involves pretending to do the opposite of what is expected in order to confuse or mislead others. Synonyms for this term include "counterfeit," "pretend," and "feint." Another term that can be used in a similar situation is "false flag," which is a tactic that involves disguising oneself as a different entity in order to gain an advantage. Additionally, the term "double cross" can also be used to describe a situation where someone betrays or deceives someone else by pretending to be on their side. Whatever the term used, it is clear that deceit and cunning are at play.