Unity 2D Fighting Game Camera

I'm trying to make a 2d fighting camera. I want the camera to focus on 2 fighters and then zoom in/out to make sure they are both on the screen. Using the post below, I was able to get this camera to work horizontally:

https://answers.unity.com/questions/126184/fighting-game-camera.html

The original script is the following

 float margin = 1.5f; // space between screen border and nearest fighter    
  private float z0; // coord z of the fighters plane
  private float zCam; // camera distance to the fighters plane
  private float wScene; // scene width
  private Transform f1; // fighter1 transform
  private Transform f2; // fighter2 transform
  private float xL; // left screen X coordinate
  private float xR; // right screen X coordinate
 
     public void calcScreen(Transform p1, Transform p2)
     {
         // Calculates the xL and xR screen coordinates 
         if (p1.position.x < p2.position.x)
         {
             xL = p1.position.x - margin;
             xR = p2.position.x + margin;
         }
         else
         {
             xL = p2.position.x - margin;
             xR = p1.position.x + margin;
         }
 
     }
 
     public void Start()
     {
         // find references to the fighters
         f1 = GameObject.Find("Fighter1").transform;
         f2 = GameObject.Find("Fighter2").transform;
         // initializes scene size and camera distance
         calcScreen(f1, f2);
         wScene = xR - xL;
         zCam = transform.position.z - z0;
     }
 
     public void Update()
     {
         Vector3 pos = transform.position;
         calcScreen(f1, f2);
         float width = xR - xL;
     
         if (width > wScene)
         { // if fighters too far adjust camera distance
             pos.z = zCam * width / wScene + z0;
         }
 
         // centers the camera
         pos.x = (xR + xL) / 2;    
 
         transform.position = pos;
     }

Since on my game you can move horizontally and vertically, I modified the code to also adjust when the character moves vertically to this:

 float margin = 1.5f; // space between screen border and nearest fighter
 float marginY = 1.5f; // space between screen border and nearest fighter
 
  private float z0; // coord z of the fighters plane
  private float zCam; // camera distance to the fighters plane
  private float wScene; // scene width
  private float hScene; // scene height
  private Transform f1; // fighter1 transform
  private Transform f2; // fighter2 transform
  private float xL; // left screen X coordinate
  private float xR; // right screen X coordinate
  private float yU; // up screen Y coordinate
  private float yD; // down screen Y coordinate
 
     public void calcScreen(Transform p1, Transform p2)
     {
         // Calculates the xL and xR screen coordinates 
         if (p1.position.x < p2.position.x)
         {
         xL = p1.position.x - margin;
         xR = p2.position.x + margin;
     }
     else
     {
         xL = p2.position.x - margin;
         xR = p1.position.x + margin;
     }

     if (p1.position.y < p2.position.y)
     {
         yD = p1.position.y - marginY;
         yU = p2.position.y + marginY;
     }
     else
     {
         yD = p2.position.y - marginY;
         yU = p1.position.y + marginY;
     }

 }

 public void Start()
 {
     // find references to the fighters
     f1 = GameObject.Find("Fighter1").transform;
     f2 = GameObject.Find("Fighter2").transform;
     // initializes scene size and camera distance
     calcScreen(f1, f2);
     wScene = xR - xL;
     hScene = yU - yD;
     zCam = transform.position.z - z0;
 }

 public void Update()
 {
     Vector3 pos = transform.position;
     calcScreen(f1, f2);
     float width = xR - xL;
     float height = yU - yD;

     if (width > wScene)
     { // if fighters too far adjust camera distance
         pos.z = zCam * width / wScene + z0;
     }
     else if (height > hScene)
     { // if fighters too far adjust camera distance
         pos.z = zCam * height / hScene + z0;
     }

     // centers the camera
     pos.x = (xR + xL) / 2;
     pos.y = (yU + yD) / 2;


     transform.position = pos;
 }

This works when the characters only moves horizontally or vertically, if it moves both horizontally and vertically it doesnt work anymore. Also, the vertical movement doesnt work appropiately when the 2 fighters are far way. The camera zooms in even thought they are far from each other but they are close in therms of the height.

I feel like I need to change the code to look at both x and y at the same time. It feels like I'm considering and x separately.

I have been stuck on this for a while now. Any help would be appreciated.