How to make mouse cursor move automatically onto a 3D object in the scene

Hi,

I have a scene whose only 3D object is a sphere and I want when pressing a key (say, Shift Key), the mouse cursor to move automatically onto the sphere. For that purpose, I've written the following piece of code but it only works for specific camera angles and positions and only when Unity Editor's 'Game' window is set to 'Maximize On Play':

 using System.Collections;
 using System.Collections.Generic;
 using UnityEngine;
 using System.Runtime.InteropServices;
 using System;
 
 public class CursorMove: MonoBehaviour {
 
     public struct Point {
 
         public int X;
         public int Y;
 
         public Point (int _X, int _Y) {
             X = _X;
             Y = _Y;
         }
 
     }
 
     [DllImport("user32.dll")]
     private static extern bool SetCursorPos(int X, int Y);
     [DllImport("user32.dll")]
     private static extern bool GetCursorPos(out Point pos);
 
     public Transform target;
 
     private Point CurrentCursorPosition, NextCursorPosition;
 
     void Update() {
         
         if (Input.GetKeyUp(KeyCode.LeftShift)) {
 
             CurrentCursorPosition = new Point ();
             GetCursorPos (out CurrentCursorPosition);
 
             Vector3 Coords = GetComponent<Camera> ().WorldToViewportPoint (target.position);
 
                 Point Coords_AdjustedToResolution =
                     new Point ((int)(Coords.x * (float)Screen.currentResolution.width), 
                         (int)(Coords.y * (float)Screen.currentResolution.height));
 
             NextCursorPosition = 
                     new Point (Coords_AdjustedToResolution.X, Coords_AdjustedToResolution.Y);
             
             SetCursorPos (NextCursorPosition.X, NextCursorPosition.Y);
         
         }
 
     }
 
 }    

What should I do to make it work for all camera angles and positions?

Thanks in advance.