C# Broadcasting message on server to remote client

Question

I'm trying to broadcast a message from server to a remote client, my problem is that I'm not able to receive the message on the client, the approach I'm currently playing with is as follows:

//Server 
UdpClient udpServer = new UdpClient();
udpServer.Client.Bind(new IPEndPoint(IPAddress.Any, port));
var send = Task.Run(() =>
{
    var to = new IPEndPoint(IPAddress.Broadcast, port);
    while (true)
    {
        var response = gameWorld.GetStateJson();
        var responseInBytes = Encoding.ASCII.GetBytes(response);
        udpServer.SendAsync(responseInBytes, responseInBytes.Length, to);
        Console.WriteLine(response);
        gameWorld.Update();
    }
});
send.Wait();

And for the client:

//Client
UdpClient receivingUdpClient = new UdpClient(8081);
while (true)
{
    IPEndPoint RemoteIpEndPoint = new IPEndPoint(IPAddress.Parse("11.111.111.111"), 0);
    try
    {
        byte[] receiveBytes = receivingUdpClient.Receive(ref RemoteIpEndPoint);

        string returnData = Encoding.ASCII.GetString(receiveBytes);

        Console.WriteLine(returnData.ToString());
    }
    catch (Exception e)
    {
        Console.WriteLine(e.ToString());
    }
}

So the current client code works as expected, but only for my LAN (if I understand correctly), I'm not sure what should I change in order to be receiving the messages over the internet "globally", advice would be highly appreciated.

Side question: does the server code as is broadcast the data "globally" ? Or is it also for my LAN only?

EDIT: Is this somehow possible or do I have to send data to each client explicitly, even though they're the same for all