How do I check the type of proxy im testing? If it's http / https

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C#

.NET

proxy

So I came up with this idea in how to check if a proxy is http / https & alive or not. It's a quick fix and not at all optimal in reality, but I couldnt for the life of me find docs about testing proxies online so im asking here.

What im doing is this, im putting my code into a try catch statement and if it works then it has to be a http/https and (alive) and if it fails its either because its not http/https because the httpwebrequest does only support those two (as far as I have read) or its a http/https but couldnt connect (dead)

try
{
    HttpWebRequest request = (HttpWebRequest)WebRequest.Create("http://www.google.com");
    WebProxy myproxy = new WebProxy("61.183.8.45", 94);
    myproxy.BypassProxyOnLocal = false;
    request.Proxy = myproxy;
    request.Method = "GET";
    HttpWebResponse response = (HttpWebResponse)request.GetResponse();
    MessageBox.Show(response.StatusCode.ToString());
}
catch (Exception)
{
    MessageBox.Show("Could not connect because the proxy server is dead");
}

Now is there a way to "fool proof" this more? For example is there a way to check the type of the proxy? Http/https/socks5 etc

What I have tried:

I've tried looking on Google for docs and answeres but I found nothing that fits my problem.