Weird vertices appear when generating grid full of quads

I am trying to generate a grid full of quads that are made up of triangles. Everything works fine at first but when I increase width and height to 300 or more it starts generating weird triangles that aren't supposed to be there. I have no idea what might cause this issue. My guesses are I am drawing triangles wrong.

This is 100x100 grid and it works just fine

This is 300x300 grid which does some weird stuff

From underneath it generates this weird looking spaghetti shapes. I tried changing triangles order but it doesn't help. It only gets wilder. One last thing I should probably mention is those weird triangles are rows that should be generated in their own coordinates, the issue is again in my opinion is triangles array. I will stop talking now and put my code here.

Code is a little bit too long but I hope you will take a look at it:

 using UnityEngine;
 
 [RequireComponent(typeof(MeshFilter))]
 public class MeshGeneration : MonoBehaviour
 {
     Vector3[] vertices;
     int[] triangles;
 
     public int width, height;
     [Range(0f, 1f)]
     public float resolution;
 
     Mesh mesh;
    
     private void Start()
     {
         mesh = new Mesh();
         GetComponent<MeshFilter>().mesh = mesh;
 
         GenerateMesh();
         UpdateMesh();
     }
 
     void GenerateMesh()
     {
 
         vertices = new Vector3[(width + 1) * (height + 1)];
 
         for (int x = 0, i = 0; x < width+1; x++)
         {
             for (int z = 0; z < height+1; z++)
             {
                 vertices[i] = new Vector3(x * resolution, 0, z * resolution);
 
                 i++;
             }
         }
 
         triangles = new int[width * height * 6];
 
         int quad = 0;
         int vertice = 0;
 
         for (int x = 0; x < height; x++)
         {
             for (int z = 0; z < width; z++)
             {
                 triangles[quad + 0] = vertice + 0;
                 triangles[quad + 1] = vertice + 1;
                 triangles[quad + 2] = vertice + width + 2;
                 triangles[quad + 3] = vertice + width + 2;
                 triangles[quad + 4] = vertice + width + 1;
                 triangles[quad + 5] = vertice + 0;
 
                 vertice++;
                 quad += 6;
             }
 
             vertice++;
         }
     }
     public void UpdateMesh()
     {
         mesh.name = "ShittyTerrain";
         mesh.vertices = vertices;
         mesh.triangles = triangles;
 
         mesh.RecalculateNormals();
     }
 }

I hope I made everything clear for you. If you have ever encountered an issue like this I would greatly appreciate even a small hint. Thank you if you have read so far!