How to rotate the camera around the player both vertically and horizontally?

I am currently working on a 2.5D game which will be point and click style. I'm trying to create a camera that allows for you to zoom in, zoom out, rotate 360 degrees fully around the player horizontally, but also move up and down vertically with a max angle height and min angle height while staying focused on the center of the player. As of now, the zooming works perfectly and so does the horizontal rotation.

I have since added in Vertical Rotation which works decently on its own. However, if I add that in with the Horizontal Rotation, it just doesn't work at all. I'm thinking this is not working because I have created 3 new floats (cameraXAlt, cameraYAlt, and cameraZAlt) as well as a new Vector3 and it is having a conflict.

Below is my code for CameraFollows.cs. I've spent hours trying to figure out how to get both of these to work together but can't seem to get it right! Any help on how I can acheive the vertical rotation with the horizontal rotation would be greatly appreciated.

 using System.Collections;
 using System.Collections.Generic;
 using UnityEngine;
 
 public class CameraFollow : MonoBehaviour
 {
     // This is the main player camera
     public Camera playerCamera;
     // The camera will follow this target
     public Transform target;
 
     // The camera will be these many units away from player
     public float height = 15;
     public float angle = 0;
     public float rotationalSpeed = 3;
     public float radius = 10;
     public float maxFOV = 80f;
     public float minFOV = 15f;
     public float scrollSpeed = 0.5f;
     // Up and Down Camera
     public float radiusUpDown = 20;
     public float upDownSpeed = 0.005f;
     public float maxAngle = 3;
     public float minAngle = 2;
 
     // Start is called before the first frame update
     void Start()
     {
         
     }
 
     // Update is called once per frame
     void Update()
     {
         // Horizontal Rotation of Camera
         float cameraX = target.position.x + (radius * Mathf.Cos(angle));
         float cameraY = target.position.y + height;
         float cameraZ = target.position.z + (radius * Mathf.Sin(angle));
 
         transform.position = new Vector3(cameraX, cameraY, cameraZ);
 
         // Pressing A or D on keyboard will rotate camera around player horizontally
         if (Input.GetKey(KeyCode.A)) {
             angle = angle - rotationalSpeed * Time.deltaTime;
         } else if (Input.GetKey(KeyCode.D)) {
             angle = angle + rotationalSpeed * Time.deltaTime;
         }
 
         // Vertical Rotation of Camera
         float cameraXAlt = target.position.x + height;
         float cameraYAlt = target.position.y + (radiusUpDown * Mathf.Sin(angle));
         float cameraZAlt = target.position.z;
 
         transform.position = new Vector3(cameraXAlt, cameraYAlt, cameraZAlt);
 
         // Pressing W or S on keyboard will rotate camera around player vertically
         if (Input.GetKey(KeyCode.W)) {
             angle = Mathf.Lerp(angle, minAngle, upDownSpeed);
         } else if (Input.GetKey(KeyCode.S)) {
             angle = Mathf.Lerp(angle, maxAngle, upDownSpeed);
         }
 
         // Zooming In with Scrollwheel
         if (Input.GetAxis ("Mouse ScrollWheel") > 0) {
             playerCamera.fieldOfView = Mathf.Lerp(playerCamera.fieldOfView, minFOV, scrollSpeed);
         }
 
         // Zooming Out with Scrollwheel
         if (Input.GetAxis ("Mouse ScrollWheel") < 0) {
             playerCamera.fieldOfView = Mathf.Lerp(playerCamera.fieldOfView, maxFOV, scrollSpeed);
         }
 
         transform.LookAt(target.position);
     }
 }