A multilinear game would need to have some sort of ordering component. That is, we would be placing 2 things per day, or three people per shift, or two paintings in an order on the wall.
In this game, we are trying to place six trucks in three offices. There does not seem to be any order to these offices. We could diagram as
_ _ _ X Y Z
or as _ _ _ Z Y X
and it wouldn't really matter which one we choose. The rules all relate to placing our six trucks in one of three spots, which is a classic group game.