tune(mm): cap the solo wait at 25s (was 75s)

- full table of 4 humans still starts instantly at any time
- at the 15s checkpoint, 2+ humans start together (bots fill empty seats)
- a lone player now waits until a precise 25s deadline, then AI fills and starts
- lower the client "connection stuck" hint to 40s to match the shorter wait

Co-Authored-By: Claude Opus 4.8 (1M context) <noreply@anthropic.com>

server/src/Hokm.Server/Game/GameManager.cs

@@ -17,14 +17,15 @@ public sealed class Player
 /// <summary>In-memory matchmaking + room registry. (EF/Postgres persistence is a TODO.)</summary>
 public sealed partial class GameManager
 {
-    // Real players get priority. We re-check the queue every QueueWaitMs; the
+    // Real players get priority:
-    // moment a second human is waiting they're matched together (+ bots for any
+    //   • a full table of 4 humans forms instantly, at any time;
-    // empty seats), and a full group of 4 forms instantly. A player left ALONE
+    //   • at the 15s checkpoint, if ≥2 humans are waiting they start together
-    // keeps waiting up to MaxAloneWaitMs so an online opponent has a genuine
+    //     (bots fill any empty seats);
-    // chance to join before we fall back to a bot table. (QueueWaitMs mirrors
+    //   • a player left ALONE keeps waiting until the 25s hard deadline, then we
-    // MATCH_QUEUE_WAIT_MS on the client — keep both in sync.)
+    //     fill the seats with AI and start.
+    // (QueueWaitMs mirrors MATCH_QUEUE_WAIT_MS on the client — keep both in sync.)
     private const int QueueWaitMs = 15000;
-    private const int MaxAloneWaitMs = 75000;
+    private const int MaxAloneWaitMs = 25000;
 
     private static readonly string[] BotNames =
         { "آرش", "کیان", "نیلوفر", "سارا", "رضا", "مهسا", "امیر", "پارسا", "الناز", "بابک" };
@@ -102,12 +103,14 @@ public sealed partial class GameManager
             // bots fill any empty chairs (real players matched immediately).
             if (_waiting.Count >= 2) { FormGroupLocked(_waiting.Count); return; }
 
-            // Alone: keep the table open for an online opponent until the max wait
+            // Alone: keep the table open for an online opponent until the 25s
-            // elapses, then fall back to a bot table. Re-arm the re-check timer.
+            // deadline, then fill the seats with AI. Re-arm the timer to land
+            // exactly on the deadline rather than overshooting by a full window.
             var waited = (DateTime.UtcNow - _waiting[idx].since).TotalMilliseconds;
-            if (waited < MaxAloneWaitMs)
+            var remaining = MaxAloneWaitMs - waited;
+            if (remaining > 250)
             {
-                _waiting[idx].timer.Change(QueueWaitMs, Timeout.Infinite);
+                _waiting[idx].timer.Change((int)remaining, Timeout.Infinite);
                 return;
             }
             FormGroupLocked(1);

src/components/screens/MatchmakingScreen.tsx

@@ -140,7 +140,7 @@ export function MatchmakingScreen() {
         {searching && (
           <>
             <div className="mt-2 text-3xl font-black gold-text tabular-nums">{elapsed}s</div>
-            {elapsed >= 90 ? (
+            {elapsed >= 40 ? (
               <p className="text-rose-300 text-xs mt-2 max-w-[18rem]">{t("mm.stuck")}</p>
             ) : (
               <p className="text-cream/50 text-xs mt-1 max-w-[16rem]">{t("mm.fillHint")}</p>