Character Controller change target direction in degree

whats the best way to change the target direction for a character controller?
Currently I’m getting the forward vector relativ to the player along the x-z plane with

Vector3 forward = this.transform.TransformDirection(Vector3.forward);

Now I want to create a new Vector3 moveDirection which is showing 2° to the left/right. So a rotation around the players Y-Axis basically, but I need it as a direction to move.

Vector3 moveDirection = ??

After that, I will rotate the player to the new direction he’s walking.

transform.rotation = Quaternion.LookRotation(moveDirection);

How to build the new moveDirection? I think its an easy thing, but I’m so confused atm…

as I thought, the solution was easy.

I created a Quaternion with a rotation of 2°

Quaternion twoDegreeLeft = Quaternion.AngleAxis(-2, Vector3.up);

and multiplied it with the original direction

transform.rotation = Quaternion.LookRotation(moveDirection) * twoDegreeLeft;