diff --git a/AdminStealth.cs b/AdminStealth.cs
index 317484c..f4ee8fb 100644
--- a/AdminStealth.cs
+++ b/AdminStealth.cs
@@ -23,7 +23,7 @@ namespace AdminStealth;
 public class AdminStealth : BasePlugin
 {
     public override string ModuleName => "AdminStealth";
-    public override string ModuleVersion => "0.3.13";
+    public override string ModuleVersion => "0.3.14";
     public override string ModuleAuthor => "astra";
     public override string ModuleDescription => "Makes CS2-SimpleAdmin's css_hide look like leaving, and keeps it";
 
@@ -80,6 +80,7 @@ public class AdminStealth : BasePlugin
             _hideTyped.Clear();
             _restoreScheduled.Clear();
             _restoring.Clear();
+            _closingTeamScreen.Clear();
         });
     }
 
@@ -136,20 +137,42 @@ public class AdminStealth : BasePlugin
 
         player!.PrintToChat($" You're hidden, so you can't join a team. Type {ChatAlias()} to show yourself.");
 
-        // M opens the team screen on the client, where the server can't block it, and a player with
-        // no team (as hidden admins are) can't close it without picking. Answer the pick by telling
-        // only their client they joined spectators, with the team screen disabled around it, so
-        // nobody else ever sees them on a team.
+        CloseTeamScreen(player);
+        return HookResult.Stop;
+    }
+
+    // M opens the team screen on the client, where the server can't block it, and a player with no
+    // team (as hidden admins are) can't close it without picking. Telling only their client they
+    // joined spectators doesn't close it (tried live), so do what css_hide does: really move them
+    // to spectators and back to no team, with the team screen disabled around it. Their team
+    // events aren't broadcast while hidden (OnPlayerTeam), and our SimpleAdmin fork doesn't unhide
+    // for spectators.
+    private readonly HashSet<int> _closingTeamScreen = [];
+
+    private void CloseTeamScreen(CCSPlayerController player)
+    {
         var slot = player.Slot;
+        if (!_closingTeamScreen.Add(slot))
+            return;
+
         Server.ExecuteCommand("sv_disable_teamselect_menu 1");
-        AddTimer(0.3f, () =>
+        Server.NextFrame(() =>
         {
             var p = Utilities.GetPlayerFromSlot(slot);
-            if (p is { IsValid: true } && IsHidden(p))
-                SendTeamEvent(p, (int)CsTeam.Spectator, p.TeamNum);
+            if (p is { IsValid: true } && IsHidden(p) && p.TeamNum == (byte)CsTeam.None)
+                p.ChangeTeam(CsTeam.Spectator);
+        });
+        AddTimer(0.15f, () =>
+        {
+            var p = Utilities.GetPlayerFromSlot(slot);
+            if (p is { IsValid: true } && IsHidden(p) && p.TeamNum == (byte)CsTeam.Spectator)
+                p.ChangeTeam(CsTeam.None);
+        }, TimerFlags.STOP_ON_MAPCHANGE);
+        AddTimer(0.5f, () =>
+        {
+            _closingTeamScreen.Remove(slot);
+            Server.ExecuteCommand("sv_disable_teamselect_menu 0");
         }, TimerFlags.STOP_ON_MAPCHANGE);
-        AddTimer(0.6f, () => Server.ExecuteCommand("sv_disable_teamselect_menu 0"), TimerFlags.STOP_ON_MAPCHANGE);
-        return HookResult.Stop;
     }
 
     private HookResult OnTeamMenu(CCSPlayerController? player, CommandInfo command)
diff --git a/README.md b/README.md
index 5f82ae0..19b1e81 100644
--- a/README.md
+++ b/README.md
@@ -20,8 +20,9 @@ admin off the scoreboard. This plugin makes it look like they left the server:
   the team select screen doesn't open, until the restore hides them again.
 - The team select screen: the server's "team" menu message (`CS_UM_VGUIMenu`) is never sent to
   a hidden admin. M opens it on the client regardless, and a player with no team can't close it
-  without picking, so a pick is answered by telling only that client it joined spectators
-  (with `sv_disable_teamselect_menu` on around it); nobody else sees a team change.
+  without picking, so a pick moves them to spectators and straight back to no team, as `css_hide`
+  does (with `sv_disable_teamselect_menu` on around it), which closes it. The team events aren't
+  broadcast; for about 0.15 s they're on the spectator list of anyone looking at the scoreboard.
 - Restoring runs `css_hide` at most once: it toggles, so a second run could unhide them.
 
 Needs our SimpleAdmin fork (1.8.2b-zio2 or later), where moving to spectators doesn't unhide a