As it says, the new clan chat feature does show up in the game chat channel. All clan chats are not private, they are displayed in game chat. 

I came here to post the same thing. I also have another request to add a couple more Premium Plugins to the file. I have implemented Dome Event and Deep Sea Cargo on my modded server. It would be nice to have them included in a future release. I can send the file with my implementation to facilitate the addition.

Merged post

Disclaimer: I'm not a programmer and I hacked this together with ChatGPT. It appears to work on my test game and Discord servers. I'm going to add it to a production server tomorrow for live testing.

plugins/Rustcord.cs

Below Line 1495 inserted:

{ "RUST_OnPlayerClanChat", ":shield: {playername}: {message}"},

Starting line 1995 (1994 if you didn't add the above first). NOTE: I left original code commented in the rework.

        #region Chat Logging
        private void OnPlayerChat(BasePlayer player, string message, ConVar.Chat.ChatChannel channel)
        {
            if (Client == null) return;
            if (player == null || message == null) return;
            //Added by Terceran on 9/6/2024 to address an exception when the API Key is messed up
            if (channel == null) return;
            
            if (permission.UserHasPermission(player.UserIDString, "rustcord.hidechat")) return;
            if (BetterChatMute?.Call<bool>("API_IsMuted", player.IPlayer) ?? false) return;
            if (_settings.Filters.FilterWords != null && _settings.Filters.FilterWords.Count > 0)
            {
                for (int i = _settings.Filters.FilterWords.Count - 1; i >= 0; i--)
                {
                    while (message.Contains(" " + _settings.Filters.FilterWords[i] + " ") || message.Contains(_settings.Filters.FilterWords[i]))
                        message = message.Replace(_settings.Filters.FilterWords[i], _settings.Filters.FilteredWord ?? "");
                }
            }

            var text = GetPlayerCache(player, message, CacheType.OnPlayerChat);

/*             for (int i = 0; i < _settings.Channels.Count; i++)
            {
                if (_settings.Channels[i].perms.Contains(channel == ConVar.Chat.ChatChannel.Team ? "msg_teamchat" : "msg_chat"))
                {
                    if (!(player.IsValid())) continue;

                    GetChannel(Client, _settings.Channels[i].Channelid, chan =>
                    {
                        chan.CreateMessage(Client, Translate(channel == ConVar.Chat.ChatChannel.Team ? "RUST_OnPlayerTeamChat" : "RUST_OnPlayerChat", text));

                    });
                }
            } */
// REWORKED TO ENABLE msg_clanchat channel permission
			for (int i = 0; i < _settings.Channels.Count; i++)
			{
				string chatPerm = GetChatPerm(channel);

				if (_settings.Channels[i].perms.Contains(chatPerm))
				{
					if (!(player.IsValid())) continue;

					GetChannel(Client, _settings.Channels[i].Channelid, chan =>
					{
						chan.CreateMessage(Client, Translate(GetChatLangKey(channel), text));
					});
				}
			}
////////////////////////////////////////////////////////////////////////////////////////////////
            text.Clear();
        }
// ADDED HELPERS FOR CLAN CHAT
		private string GetChatPerm(ConVar.Chat.ChatChannel channel)
		{
			switch ((int)channel)
			{
				case 1:
					return "msg_teamchat";
				case 5:
					return "msg_clanchat";
				default:
					return "msg_chat";
			}
		}

		private string GetChatLangKey(ConVar.Chat.ChatChannel channel)
		{
			switch ((int)channel)
			{
				case 1:
					return "RUST_OnPlayerTeamChat";
				case 5:
					return "RUST_OnPlayerClanChat";
				default:
					return "RUST_OnPlayerChat";
			}
		}
        #endregion​

config/Rustcord.json

Add the "msg_clanchat" permission to a channel you want it recorded in.

lang/en/Rustcord.json

Add the same string below line 1495 to the file in JSON format.

"RUST_OnPlayerClanChat": ":shield: {playername}: {message}"