Pretty much. He did it the last two times by doing ten-step walks from the phone to the clock, back again, and from the phone to the hall with the bathroom door and back again, pausing between every walk and looking at some of what we believe are the keys in those areas. IIRC, on those attempts, he never went further than 10 steps away from the phone for his second laugh. On one of these two attempts, the phone didn't ring immediately after the second giggle, but he followed the same routine and got a third laugh, stood perfectly still, and the phone rang.
EDIT: He didn't seem to need to complete the picture puzzle, or die by the ghost, or be possessed. In fact, he seemed convinced to avoid the latter. He also never reset the room.