Every tick (or every x seconds), save the current angle to an instance variable (lastAngle). Make sure this is the last event/action in this group.
Self.Angle-Self.lastAngle > x - Play left turn animation
Self.Angle-Self.lastAngle < -x - Play right turn animation
Where x is the "dead zone" angle for going straight.
Although I feel like there is some trickery involved with going from 359 to 0 degrees for the angle, the solution evades me at the moment. Maybe someone else can help.