feat(lobby): drop left honest-AI games from the finished list

A finished honest-AI (vs_ai) game the player left — by resigning or by
abandoning it to the 7-day inactivity timeout (end_reason 'resign'/'timeout')
— no longer appears in that player's own lobby finished list.

The new game.Service.ListForLobby filters ListForAccount for the lobby
endpoint only; the admin console and the account-merge count keep the full
set. The filter keys on the game's end reason, not on which seat left, so it
extends to any player should the robot ever resign.

docs/ARCHITECTURE.md

@@ -382,7 +382,12 @@ at once, only the human is ever on the clock, so the per-turn timeout doubles as
 game emits **no `your_turn`** (the instant reply makes it redundant; `opponent_moved`
 still advances the UI), its **GCG export labels the robot seat "AI"**, and the
 games-started / -abandoned metrics carry a **`vs_ai`** attribute so AI and human games
-chart separately (the admin `/games` list and game card also show the AI flag).
+chart separately (the admin `/games` list and game card also show the AI flag). A finished
+honest-AI game the player **left** — `end_reason` `resign` or `timeout` — is also dropped from
+that player's own *finished* lobby list by `game.Service.ListForLobby` (a lobby-only filter over
+`ListForAccount`); the admin console and the account-merge count keep the full set, and a
+normally finished AI game stays. The filter keys on the game's end reason, not on which seat
+left, so it extends to any player should the robot ever resign.
 
 The robot keeps **no per-game state**: every choice is derived deterministically
 from the game's bag `seed` (a restart-stable FNV-1a mix), so a background driver

docs/FUNCTIONAL.md

@@ -80,7 +80,10 @@ finishes**, its status icon **blinks twice** to draw the eye (an opponent's-turn
 silent, applied in place). You can **remove a finished game from your own list**:
 swipe a finished row left (or, on desktop, tap its **⋮**) to reveal a **❌**, then tap it.
 The removal is per-account and permanent — the game disappears only from your list and stays
-in the other players' lists, and there is no undo. The game types offered on **New Game** are
+in the other players' lists, and there is no undo. A finished **AI game (🤖) you left** — by
+resigning or by letting it lapse to the 7-day timeout — drops from your *finished* list
+automatically, with no swipe needed; a normally finished AI game stays until you remove it, and
+no other game type is auto-removed. The game types offered on **New Game** are
 limited to the languages the player's sign-in service supports (English → Scrabble;
 Russian → Scrabble + Erudite; a bilingual service shows all three, and the web client is
 unrestricted). Variants are shown by their **display name** — both Scrabble variants read

docs/FUNCTIONAL_ru.md

@@ -81,7 +81,10 @@ nudge) приходят от бота **этой партии** — по язы
 соперника — без моргания, применяется на месте). Завершённую партию можно **убрать из своего списка**:
 проведи по строке завершённой партии влево (или, на десктопе, нажми её **⋮**), чтобы открыть
 **❌**, и нажми её. Удаление действует только для твоего аккаунта и необратимо — партия
-исчезает лишь из твоего списка и остаётся в списках других игроков, отмены нет. Типы партий
+исчезает лишь из твоего списка и остаётся в списках других игроков, отмены нет. Завершённая
+**игра с ИИ (🤖), покинутая тобой** — через сдачу или истечение 7-дневного таймаута — убирается
+из *завершённых* автоматически, без свайпа; нормально доигранная игра с ИИ остаётся, пока ты не
+уберёшь её, и никакие другие типы партий автоматически не убираются. Типы партий
 на экране **Новая игра**
 ограничены языками, которые поддерживает сервис входа игрока (английский → Scrabble;
 русский → Scrabble + Erudite; двуязычный сервис показывает все три, а веб-клиент не