Парсинг Auto.ru (Блокирует буквально со второго запроса)

 public partial class Form1 : Form
    {
        MyWebClient client = new MyWebClient();
        HtmlAgilityPack.HtmlDocument doc;
        public Form1()
        {
            InitializeComponent();
        }
 
        private void button1_Click(object sender, EventArgs e)
        {
           
           doc = client.GetPage("https://auto.ru");
            textBox1.Text = client._cookies.Count.ToString();
            textBox2.Text = doc.Text;
            
        }
 
        private void button2_Click(object sender, EventArgs e)
        {
            doc = client.GetPage("https://auto.ru");
            textBox1.Text = client._cookies.Count.ToString();
            textBox2.Text = doc.Text;
        }
    }

using System;
using System.Collections.Generic;
using System.Linq;
using System.Text;
using System.Threading.Tasks;
using System.Net;
using System.IO;
using HtmlAgilityPack;
 
namespace CookesFabrik
{
    class MyWebClient
    {
        //The cookies will be here.
        public CookieContainer _cookies = new CookieContainer();
 
        //In case you need to clear the cookies
        public void ClearCookies()
        {
            _cookies = new CookieContainer();
        }
 
        public HtmlDocument GetPage(string url)
        {
            HttpWebRequest request = (HttpWebRequest)WebRequest.Create(url);
            request.Method = "GET";
            request.UserAgent = "Mozilla/5.0 (Windows NT 10.0; Win64; x64) AppleWebKit/537.36 (KHTML, like Gecko) Chrome/78.0.3904.87 Safari/537.36";
            //Set more parameters here...
            //...
 
            //This is the important part.
            request.CookieContainer = _cookies;
 
            HttpWebResponse response = (HttpWebResponse)request.GetResponse();
            var stream = response.GetResponseStream();
 
            //When you get the response from the website, the cookies will be stored
            //automatically in "_cookies".
 
            using (var reader = new StreamReader(stream))
            {
                string html = reader.ReadToEnd();
                var doc = new HtmlDocument();
                doc.LoadHtml(html);
                return doc;
            }
        }
    }
}