How can I remove shooted mesh of object?

Hello, I am trying to write a script for removing shooted mesh of object (triangle) by mouse click.

There is a two approach that came up to my mind.

First one is modelling main game object with little cube objects which I can easily destroy when one of them shooted. However I want to learn mesh scripting a little bit, so this method is my last option.

Second one is, writing a mesh script which detects nearest vertices to mouse cursor and then remove them from triangles array of mesh. Here is the code that I wrote.

 using UnityEngine;
 using System.Collections;
 using System.Collections.Generic;
 using System;
 
 public class beardScript : MonoBehaviour
 {
     Mesh mesh;
     Vector3[] vertices;
     List<int> indices;
     Vector2[] uv;
    
     // Use this for initialization
     void Start()
     {
         mesh = GetComponent<MeshFilter>().mesh;
         vertices = mesh.vertices;
         indices =   new List<int>(mesh.triangles);
         uv= mesh.uv;
     }
 
     // Update is called once per frame
     void Update()
     {
         if (Input.GetMouseButtonDown(0))
         {
             RaycastHit hitInfo = new RaycastHit();
             Ray ray = Camera.main.ScreenPointToRay(Input.mousePosition);
             if (Physics.Raycast(Camera.main.ScreenPointToRay(Input.mousePosition), out hitInfo) && hitInfo.transform.tag == "Talker")
             {
                 int[] indexToBeRemoved = new int[3] { -1, -1, -1 };
                 
                 for (int j = 0; j < 3; j++)
                 {
                     float minDist = Mathf.Infinity;
                     int index = -1;
                     for (int i = 0; i < vertices.Length; i++)
                     {
                         float dis = Vector3.Distance(hitInfo.point, vertices[i]);
                         if (dis < minDist&& i!=indexToBeRemoved[0] && i != indexToBeRemoved[1] && i != indexToBeRemoved[2])
                         {
                             index = i;
                             minDist = dis;
                             
                         }
 
                     }
                     indexToBeRemoved[j] = index;
                     print(index);
                    
                 }
                 Array.Sort(indexToBeRemoved);
                 indices.RemoveRange(indexToBeRemoved[0], 3);
                 mesh.Clear();
                 mesh.vertices = vertices;
                 mesh.uv = uv;
                 mesh.triangles = indices.ToArray();
             }
         }
     }
    
     
  }

However this code doesn't work. When I click to object, object gets darker gray.

Also I noticed another issue in that code. If this script worked properly, it could still give me wrong vertices. In some meshes, especially the ones that scaled down in one axis; nearest vertices to mouse cursor may not be corner of same triangle. So I couldnt get the vertices that mouse cursor shot.