Stop hardcoding the GameOptions in GameListingV2

To prevent needing to pull in Impostor.Hazel, use an extension method
instead.

Thanks Niko for researching this part

Co-Authored-By: Niko233 <139348239+NikoCat233@users.noreply.github.com>

src/Impostor.Server/Extensions/IGameOptionsExtensions.cs

@@ -0,0 +1,24 @@
+using System;
+using Impostor.Api.Innersloth.GameOptions;
+using Impostor.Hazel;
+
+namespace Impostor.Server.Extensions;
+
+public static class IGameOptionsExtensions
+{
+    public static byte[] ToBytes(this IGameOptions gameOptions)
+    {
+        using var writer = MessageWriter.Get(MessageType.Unreliable);
+        writer.Write(gameOptions.Version);
+        writer.StartMessage(0);
+        writer.Write((byte)gameOptions.GameMode);
+        gameOptions.Serialize(writer);
+        writer.EndMessage();
+        return writer.ToByteArray(false);
+    }
+
+    public static string ToBase64String(this IGameOptions gameOptions)
+    {
+        return Convert.ToBase64String(gameOptions.ToBytes());
+    }
+}

src/Impostor.Server/Http/GamesController.cs

@@ -9,6 +9,7 @@ using Impostor.Api.Config;
 using Impostor.Api.Games;
 using Impostor.Api.Games.Managers;
 using Impostor.Api.Innersloth;
+using Impostor.Server.Extensions;
 using Microsoft.AspNetCore.Mvc;
 using Microsoft.Extensions.Options;
 
@@ -308,9 +309,7 @@ public sealed class GamesController : ControllerBase
                 NumImpostors = game.Options.NumImpostors,
                 MapId = game.Options.Map,
                 Language = game.Options.Keywords,
-
-                // TODO don't hardcode
-                Options = "CXQAAAEAAA8AAQAAAgAAwD8AAEA/AAAAQAAAoEECAgQCAAAAAgEtAAAALQAAAAAPAAABAQAHBQABZAMAAAAKHgIAAWQCAAAKDwQAAkYDAAAjDwADAAFkAgAADw8IAAJkAgAACgEJAAFkAgAACh4KAAFkAwAADxQB",
+                Options = game.Options.ToBase64String(),
             };
         }
     }