refactor and chat base

Room/Chat/Chat.cs

@@ -0,0 +1,22 @@
+using System.Net.WebSockets;
+using System.Text.Json;
+using MauMau_Server.Websockets;
+
+namespace MauMau_Server.Mau;
+
+public class Chat
+{
+    private readonly Room _room;
+    
+    public Chat(Room room)
+    {
+        _room = room;
+    }
+    
+    public void SendChatMessage(string connectionId, string message)
+    {
+        var chatMessage = new ChatOutput(connectionId, message);
+        var formattedMessage = new MessageDTO("CHAT", JsonSerializer.Serialize(chatMessage));
+        WebsocketManager.BroadcastAsync(_room.GetWebsockets(), JsonSerializer.Serialize(formattedMessage));
+    }
+}