You're right, I've checked the manual, it does.
So instead of "Player enters screen (after fadein)", choose the "First time player enters screen" event. Also, this way, the cutscene doesn't run again if you re-enter the room later.
So instead of "Player enters screen (after fadein)", choose the "First time player enters screen" event. Also, this way, the cutscene doesn't run again if you re-enter the room later.