Bernan's faction and the factions of Euryale and Sky Garden were all moving separately. The leaders of the two influences went to see Atlas together, but they didn't keep that same camaraderie otherwise.
They were individually targeting Dusk and getting their revenge while cooperating only when they absolutely needed to. They hadn't even made contact with Bernan's faction yet despite being aware of their activities.
However, to the rest of the world, it seemed like the work of one major coalition.
Bernan's faction mainly targeted hidden worlds. They'd find and enter Dusk's hidden worlds and destroy the facilities they came across. Their main objective was to turn the world into something Dusk could no longer use.
Atlas didn't quite understand it, but it was described by Scarlet Fox as "closing the world" and making it inaccessible to anyone but people Bernan himself allowed.
