Fun side note: in this particular example, it doesn’t actually matter how you pick your direction. “Choose the axis closest to the target direction” performs exactly as well as “choose any edge which does not make the target node unreachable when traversed at random, and then traverse that edge” or “choose the first edge where traversing that edge does not make the target node unreachable, and traverse that edge”.
Edit: at least assuming that the graph is directed
Fun side note: in this particular example, it doesn’t actually matter how you pick your direction. “Choose the axis closest to the target direction” performs exactly as well as “choose any edge which does not make the target node unreachable when traversed at random, and then traverse that edge” or “choose the first edge where traversing that edge does not make the target node unreachable, and traverse that edge”.
Edit: at least assuming that the graph is directed