Was the whole end game "plan" of the last act to distract LE with the house juju and whatever came out of it, while god tier callopia destroyed the green sun. I know they have no connection to each other as they had no idea of the others plan. However, muse power does have some influence, but I don't know how subtle it can be.
They were completely separate plans that happened to work together because of Circumstantial Simultaneity.
Which in a way, given that could tie into Muse of Space territory, it could’ve been just an unplanned, fated end.