Jerky 3rd Person Camera Following Movement and Rotation

For my 3d game, I have attached a camera to follow my player object in position and rotation change.

But overall I was getting jerky camera follow behavior. I double-checked by stopping the camera follow with player movement behavior. If I don't attach camera to a player then the player has smooth movement and rotation but as I started to follow the player, the screen is started stuttering.

Here is the code that I have used to follow the player object in rotation and position:

 public class CameraFollow : MonoBehaviour
 {
     Vector3 offset;
     Quaternion offsetRotation;
     //
     public Transform target;
     [SerializeField] float damping = 1;
 
     void Start()
     {
         offset = transform.position - target.position;
         offsetRotation = transform.rotation;
     }
 
     void LateUpdate()
     {
         
         if (!target)
             return;
 
 
         float currentAngle = transform.eulerAngles.y;
         float desiredAngle = target.eulerAngles.y;
         float angle = Mathf.LerpAngle(currentAngle, desiredAngle, Time.deltaTime * damping);
 
         Quaternion rotation = Quaternion.Euler(0f, angle, 0f);
         transform.position = target.position + (rotation * offset);
 
         transform.LookAt(target);
         transform.rotation *= Quaternion.Euler(-10f, 0f, 0f);
     }
 }

As per my thinking, transform.LookAt statement creating a problem in smooth motion. Please share your suggestion to make overall feel smooth.