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Here the rotation is done around XZ plane if i'm not mistaken. Rotating around any plane involving W would not reveal 4D properties of the world only simply rotate in 3D. Like rotating "around a point in 2D" = "around axis perpendicular to the 2D plain in 3D"
4D plain involving W axis (WX, WY, WZ) is always perpendicular to our 3D world.
Edit: The rotation is probably around a Y and looking direction plane.
https://steamcommunity.com/app/1941640/discussions/0/5913806367101360083/#c5913806367103126981
Just today I've read about double rotation. I'ts not really a rotation. It's a kind of wierd transition that our 3D brain can't grasp and in 4D it's done around a point (all dimensions are used for rotating). There is sure a triple rotation in 6D, quadruple rotation in 8D etc...