I am trying to apply forward movement and rotation, however I can not get the two to mix. So far, only rotation works the way it should. Forward movement, under a Character Controller .move, ignores the rotation and keeps going straight.

My code so far stands as:

transform.LookAt(posistion);
transform.rotation = Quaternion.Euler(new Vector3(0, transform.rotation.eulerAngles.y, 0));

Vector3 mover = new Vector3(0,0,3);

mover = mover * Time.deltaTime * 4;

controller.Move(mover); 

Posistion represents the actual mouse, and I'm rotating along the Y axis for a top-down game. The mouse controls where the player goes, although not by clicking.