Fix a late joining client not knowing if the lobby has been paused (#1199)

* Fix client not knowing that the lobby is paused when joining after the pause

Also fixes a client thinking that a lobby is paused when joining a new one after leaving a previously paused one

* Add server announcement to delaying and pausing round start

Content.Server/GameTicking/GameTicker.cs

@@ -437,6 +437,8 @@ namespace Content.Server.GameTicking
             lobbyCountdownMessage.Paused = Paused;
             _netManager.ServerSendToAll(lobbyCountdownMessage);
 
+            _chatManager.DispatchServerAnnouncement($"Round start has been delayed for {time.TotalSeconds} seconds.");
+
             return true;
         }
 
@@ -463,6 +465,10 @@ namespace Content.Server.GameTicking
             lobbyCountdownMessage.Paused = Paused;
             _netManager.ServerSendToAll(lobbyCountdownMessage);
 
+            _chatManager.DispatchServerAnnouncement(Paused
+                ? "Round start has been paused."
+                : "Round start countdown is now resumed.");
+
             return true;
         }
 
@@ -838,6 +844,7 @@ namespace Content.Server.GameTicking
             msg.IsRoundStarted = RunLevel != GameRunLevel.PreRoundLobby;
             msg.StartTime = _roundStartTimeUtc;
             msg.YouAreReady = ready;
+            msg.Paused = Paused;
             return msg;
         }