Unity: How Do I Center A Mouse To A 3D Player Using Vector3.MoveTowards()?

doing this with a raycast and using the hit.point coordinates. This is the way I want my game to work, but it is a 3d game, so whenever I move the player, using the mouse coordinates, it won't align properly. This is due to the player being 3d and the mouse coordinates being 2d.

Here is my code:

 public float speed;
 public GameObject player;

 private Ray ray;
 private RaycastHit hit;
 private Vector3 mousePos;

 void Start ()
 {

 }
 
 void FixedUpdate ()
 {
     ray = Camera.main.ScreenPointToRay(Input.mousePosition);

     if(Physics.Raycast(ray, out hit))
     {
         mousePos = new Vector3(hit.point.x, /*Insert Code*/, hit.point.z);

         if(mousePos != player.transform.position)
         {
             player.transform.position = Vector3.MoveTowards(player.transform.position, mousePos, speed * Time.deltaTime); 
         }
     }
 }

My question is this:

If I have the player at 1.3f above the ground, how can I manipulate Vector3.MoveTowards so the mouse is centered in the player without affecting the height of the player (1.3f)?

I tried using player.transform.position.y, but it placed the mouse directly under the player (the x and z values worked, but the y-value didn't).

I, also, tried hit.point.y, but it gave me values greater than the player height (1.3f).