Camera follows the character rotation in a front position

Unity Engine
1

Basically I wanted the camera ive set to follow my character rotation, position like this:
4715276--445850--Duvida 2.PNG
Although it follows the player like this:

4715276--445853--Duvida.PNG
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The problem is in the code but idk how I can possibly change the angle of the camera and the axis position…

public class FollowPlayer : MonoBehaviour
{
    public GameObject player;
 

 
 
    void LateUpdate()
    {
        transform.position = player.transform.position - player.transform.forward * 15;
        transform.LookAt(player.transform);

    }
}

Basically I want the camera to follow the character position and rotation, which already does but not in the position I want

2

Add an offset Vector3 and add it to player.transform.position