为什么使用仅公开公钥的证书时 TLS 握手失败？

TLS 握手在使用仅公开公钥的证书时失败，但在使用另一个公开私钥的证书时有效。当我们使用仅公开公钥的证书时，它会给出“400 Bad Request No required SSL certificate was sent”

这里的一个关键区别是，使用公开私有的第二个证书，我们授予网络服务权限，但由于第一个证书不公开私钥，我们无法授予网络服务权限。这两个证书都已正确安装在商店中。

以下是示例代码：

public string TestCall() { 
    try { 
        string url = "Some URL"; 
        string apiKey = "Key Information"; 
        string secret = "Key Secret"; 
        string payload = "Timestamp";

        HttpWebRequest request = (HttpWebRequest)WebRequest.Create(url);
        request.Method = "POST";
        request.ContentType = "application/json";
        request.SendChunked = false;
        request.AllowAutoRedirect = true;
        request.Date = DateTime.UtcNow;

        var keyStore = new X509Store(StoreName.TrustedPeople, StoreLocation.LocalMachine);
        keyStore.Open(OpenFlags.ReadOnly);

        X509Certificate clientCertificate = keyStore.Certificates.Find(X509FindType.FindByThumbprint, ConfigurationManager.AppSettings["ThumbPrint"], true)[0];
        request.ClientCertificates.Add(clientCertificate);

        var authProvider = new HmacAuthProvider();
        var headers = authProvider.GenerateAuthHeaders(apiKey, secret, payload, url);
        foreach (var header in headers)
        {
            request.Headers.Add(header.Key, header.Value);
        }

        var response = (HttpWebResponse)request.GetResponse();
        var responseString = new StreamReader(response.GetResponseStream()).ReadToEnd();
        return responseString;
    }
    catch (Exception ex)
    {
        return ex.Message + " " + ex.StackTrace.ToString();
    }
}

知道这里缺少什么，没有私钥的证书没有到达服务器。