C# - ' Dispatcher.BeginInvoke(new Action(() => ' doesn't work within Winforms. CS0120

Question

I know this may have been asked previously, but I cannot find a fix for my solution. Any insight would be appreciated, I will list the code below with quotations. I've over-read that Dispatcher.BeginInvoke only works within WPF. How would I manage to get this work in Winforms? I am working on an application that transfers a trace-route output to a list-box on a button click. I receive an error saying:

// An object reference is required for the non-static field, method, or property 'Dispatcher.BeginInvoke(Delegate, params object[])' //

    private void WriteListBox(string text)
    {
        NewMethod(text);
    }

    private void NewMethod(string text)
    {
        Dispatcher.BeginInvoke(new Action(() =>
        {
            lbRoute.Items.Add(text);
        }));
    }

    private void btnTrace_Click(object sender, EventArgs e)
    {
        string hostname = txtTracehost.Text;
        int timeout = 1000;
        int max_ttl = 30;
        int current_ttl = 0;
        const int bufferSize = 32;
        Stopwatch s1 = new Stopwatch();
        Stopwatch s2 = new Stopwatch();
        byte[] buffer = new byte[bufferSize];
        new Random().NextBytes(buffer);
        Ping pinger = new Ping();
        Task.Factory.StartNew(() =>
        {
            WriteListBox($"Started ICMP Trace route on {hostname}");
            for (int ttl = 1; ttl <= max_ttl; ttl++)
            {
                current_ttl++;
                s1.Start();
                s2.Start();
                PingOptions options = new PingOptions(ttl, true);
                PingReply reply = null;
                try
                {
                    reply = pinger.Send(hostname, timeout, buffer, options);
                }
                catch
                {
                    WriteListBox("Error");
                    break;
                }
                if (reply != null)
                {
                    if (reply.Status == IPStatus.TtlExpired)
                    {
                        WriteListBox($"[{current_ttl}] - Route: {reply.Address} - Time: { s1.ElapsedMilliseconds} ms - Total Time: {s2.ElapsedMilliseconds} ms");
                        continue;
                    }
                    if (reply.Status == IPStatus.TimedOut)
                    {
                        WriteListBox($"Timeout on {hostname}. Continuing.");
                        continue;
                    }
                    if (reply.Status == IPStatus.Success)
                    {
                        WriteListBox($"Successful Trace Route to {hostname} in {s1.ElapsedMilliseconds} ms - Total Time: {s2.ElapsedMilliseconds} ms");
                        s1.Stop();
                        s2.Stop();
                        
                    }
                }
            }
        });
    }