fix(offline): scope the medal treatment to hotseat only

Per owner: a vs_ai game (one human) keeps its 'you won/lost' status text
AND its lobby medal — the hidden-status + per-seat-medal treatment applies
only to hotseat, where 2-4 local players make a single 'you' meaningless.
isLocalGameId -> game.hotseat at the three call sites (statusBlock, seat
plaque, lobby card).

ui/src/game/Game.svelte

@@ -1497,7 +1497,7 @@
       {#if badge}<span class="unread-dot sbadge-dot" class:nudge={badge === 'nudge'}></span>{/if}
       {#each view.game.seats as s (s.seat)}
         <div class="seat" class:turn={view.game.toMove === s.seat && !gameOver} class:win={s.isWinner}>
-          <div class="nm" class:struck={seatBlocked(s)}>{#if gameOver && isLocalGameId(id)}<span class="medal" aria-hidden="true">{seatMedal(view.game, s.seat)}</span>{/if}{seatName(s)}</div>
+          <div class="nm" class:struck={seatBlocked(s)}>{#if gameOver && view.game.hotseat}<span class="medal" aria-hidden="true">{seatMedal(view.game, s.seat)}</span>{/if}{seatName(s)}</div>
           <div class="sc" class:blockprompt={blockConfirm[s.seat]}>
             {#if blockConfirm[s.seat]}{t('game.blockShort')}{:else if addConfirm[s.seat]}{t('game.addFriendShort')}{:else}{s.score}{/if}
           </div>
@@ -1623,9 +1623,10 @@
     <div class="status">
       <span>{view.bagLen === 0 ? t('game.bagEmpty') : t('game.bag', { n: view.bagLen })}</span>
       {#if gameOver}
-        <!-- A local (offline) game shows its result as per-seat medals on the plaques (below), not a
-             viewer-centric "you won/lost" — the outcome is not always about a single "you". -->
-        {#if !isLocalGameId(id)}<strong class="over">{resultText()}</strong>{/if}
+        <!-- A hotseat game shows its result as per-seat medals on the plaques (below), not a
+             viewer-centric "you won/lost" — with 2-4 local players there is no single "you". A vs_ai
+             game keeps the "you won/lost" text (one human). -->
+        {#if !view.game.hotseat}<strong class="over">{resultText()}</strong>{/if}
       {:else if placement.pending.length === 0}
         <span class="turn-ind">{view.game.hotseat ? t('hotseat.turnOf', { name: hotseatName(view.game.toMove) }) : isMyTurn ? t('game.yourTurn') : turnLabel()}</span>
       {/if}

ui/src/lib/result.ts

@@ -33,8 +33,9 @@ export function resultBadge(game: GameView, myId: string): ResultBadge {
 
 /**
  * seatMedal returns a per-SEAT place emoji for a finished game (empty while it is still in progress),
- * so a local (offline) game can show each player's medal on their plaque instead of a single
- * viewer-centric "you won/lost". The winner takes the trophy; the rest place by score (a draw — no
+ * so a hotseat game can show each player's medal on their plaque instead of a single viewer-centric
+ * "you won/lost" (which is meaningless with 2-4 local players). The winner takes the trophy; the
+ * rest place by score (a draw — no
  * winner — gives every seat the medal). Mirrors the ranking in resultBadge, keyed by seat not viewer.
  */
 export function seatMedal(game: GameView, seat: number): string {

ui/src/screens/Lobby.svelte

@@ -354,10 +354,11 @@
                       >
                     </span>
                     <!-- Re-key on the per-card blink nonce so a repeat blink restarts the fade. A
-                         local (offline) game shows no lobby medal — its result lives on the in-game
-                         seat plaques, and resultBadge is viewer-centric (no seat matches the account). -->
+                         hotseat game shows no lobby medal — its result lives on the in-game seat
+                         plaques, and resultBadge is viewer-centric (no seat matches the account). A
+                         vs_ai game keeps its medal (one human, a straightforward win/loss). -->
                     {#key blinkNonce.get(g.id) ?? 0}
-                      <span class="emoji" class:blink={blinkingIds.has(g.id)}>{isLocalGameId(g.id) ? '' : resultBadge(g, myId).emoji}</span>
+                      <span class="emoji" class:blink={blinkingIds.has(g.id)}>{g.hotseat ? '' : resultBadge(g, myId).emoji}</span>
                     {/key}
                   </button>
                   {#if group.finished || g.hotseat}