Logan saw that the lights had turned green had some point after Sophie resigned from battling him. He looked around, wondering which direction to take before he decided to head above, again, actually distancing himself from his final opponent, making it so that he was two rooms away from his final opponent.
But on the other hand, his final opponent looked around carefully before choosing a door, and that second row, fourth column room happened to be leading closer to him, only a single room away from him.
The fifth turn ended, making the lights on the doors turn green again.
This caused Logan to become aware that there was probably only one or two opponents left at this point for the turn to end quickly, moving around to search for each other. However, the more they moved around without going back and forth, the more it was possible for them to oust themselves.
'I wonder if they're going to give penalties for moving back and forth...'