Fix alerts mispredict + log spam (#36004)

tstalker alerted me to it and noticed the classic case of shallow copies.

Content.Client/Alerts/ClientAlertsSystem.cs

@@ -52,7 +52,7 @@ public sealed class ClientAlertsSystem : AlertsSystem
         if (args.Current is not AlertComponentState cast)
             return;
 
-        alerts.Comp.Alerts = cast.Alerts;
+        alerts.Comp.Alerts = new(cast.Alerts);
 
         UpdateHud(alerts);
     }

Content.Server/Alert/ServerAlertsSystem.cs

@@ -14,6 +14,7 @@ internal sealed class ServerAlertsSystem : AlertsSystem
 
     private void OnGetState(Entity<AlertsComponent> alerts, ref ComponentGetState args)
     {
-        args.State = new AlertComponentState(alerts.Comp.Alerts);
+        // TODO: Use sourcegen when clone-state bug fixed.
+        args.State = new AlertComponentState(new(alerts.Comp.Alerts));
     }
 }