How to rotate slowly and look at a target On Click (mouseUp)

I'm starting learning Unity and I want to have a NPC rotating to my face when I clicked on it. I tried this script with LookAt function:

 public class LookOnClick : MonoBehaviour 
 {
     public Transform target;
     
     void OnMouseUp () {
         LookAtIgnoreHeight(target);
     }
     
     void LookAtIgnoreHeight (Transform target) {    
         Vector3 lookAtPos = target.position;
         //Set y of LookAt target to be my height.
         lookAtPos.y = transform.position.y;
         transform.LookAt (lookAtPos);*/
     }
 }

I also found some other options but under the Update() function.

How can I do it? Is it possible to obtain someway the position of the player who clicks the object without using Target? Because... what happens in a multiplayer game?

I think I will need to complete this pseudocode:

 public class LookOnClick : MonoBehaviour 
 {
     public Transform target; //This is the player
     bool rotation = false;
                 
     void OnMouseUp(){
         rotation=true;
     }
         
     public Transform from; //this is the NPC
     public float speed = 0.1F;
     public float minDistance = 1.0F;
     
     
     void Update() {
         if(rotation){
             transform.rotation = Quaternion.Lerp(from.rotation, target.rotation, Time.time * speed);
             float distance = Vector3.Distance(from.rotation, target.rotation);
             if (distance<minDistance){ rotation=false;}
 
         }
         
     }
 }

Regards,

K.