They have finished

On Havek's side, he naturally also obtained information about the purging organization, and so did his elders. "You guys don't need to worry about it. This thing has nothing to do with us, so we'll stay outside of this mess. Don't forget, we have our own way of doing it. Of course, if you want to risk it and join the chaos at the purging organization's tower, by all means, help yourself. I won't stop anyone." He already knew about the formation there thanks to Rean, so he was certain it was not related to his sect.

Eventually, tensions escalated when Grand Elder Liman, the one who let out the truth, appeared at the purging organization's tower. He knew that because of his actions, he wouldn't have a chance to aboard the formation anymore, so he had to do something. That's why he immediately chose to abandon the purging organization and ally with the other powers of the Upside Down World.