How do i Flip a 2d game object that is facing towards the cursor

I want to Flip a game object so that it looks good while still facing the cursor but with my (Shitty) code, when it is flipped, it only rotates about 45-90º Can anyone help me with this?

 using UnityEngine;
 
 public class ShoulderRotateFlip : MonoBehaviour
 {
     bool facingRight = true;
 
     void Update()
     {
         // using mousePosition and player's transform (on orthographic camera view)
         var delta = Camera.main.ScreenToWorldPoint(Input.mousePosition) - transform.position;
 
         if (delta.x >= 0 && !facingRight)
         { // mouse is on right side of player
             transform.localScale = new Vector3(1, 1, 1); // or activate look right some other way
             facingRight = true;
         }
         else if (delta.x < 0 && facingRight)
         { // mouse is on left side
             transform.localScale = new Vector3(-1, 1, 1); // activate looking left
             facingRight = false;
         }
         if (delta.x >= 0 && facingRight)
         {
             var dir = Input.mousePosition - Camera.main.WorldToScreenPoint(transform.position);
             var angle = Mathf.Atan2(dir.y, dir.x) * Mathf.Rad2Deg;
             transform.rotation = Quaternion.AngleAxis(angle, Vector3.forward);
         }
         else
         {
             var dir = Input.mousePosition + Camera.main.WorldToScreenPoint(transform.position);
             var angle = Mathf.Atan2(dir.y, dir.x) * Mathf.Rad2Deg;
             transform.rotation = Quaternion.AngleAxis(angle, -Vector3.forward);
             transform.rotation = Quaternion.AngleAxis(angle, Vector3.forward);
         }
     }
 }