That’s not how you do turning with constraints, Usually with constraints you will utilize hinge constraints then set the target angle like so, not change the attachment orientation:
--input steer is the steer throttle goes from [-1,1]
constraint.TargetAngle = ChassisStats.TurnRadius.Value * inputSteer -- hinge
I suggest looking at the basic car kit (tells you how to rig it mostly) and the open source car chassis (complete rig with some neat features and easy to read and fix up code in my opinion) for how constraint vehicles work.
Another option is Sleitnicks tutorial which is more comprehensive for both rigging the car and coding it.