fix(matchmaking): re-enqueue opens a new game, not the caller's own

A second "random opponent" enqueue with the same variant and per-turn
rule, while the caller's first game was still open (awaiting an
opponent), returned that same open game, so a player could never start a
fresh random game while one was still searching.

Drop the own-open short-circuit (step 1) in store.OpenOrJoin: a
re-enqueue now joins another player's open game or opens a fresh one.
Accumulation stays bounded by MaxActiveQuickGames, which counts open
games. Update the matchmaker/service/store doc comments and
ARCHITECTURE.md, and flip the pinning test to assert the new behavior.

backend/internal/game/service.go

@@ -266,10 +266,11 @@ func (svc *Service) Create(ctx context.Context, params CreateParams) (Game, erro
 
 // OpenOrJoin enters accountID into auto-match for the variant and per-turn rule in
 // params and returns the game they land in immediately: another waiting player's open
-// game (joined=true), the caller's own still-open game on a re-enqueue, or a fresh open
-// game seating only the caller with an empty opponent seat that a human or the reaper's
-// robot fills later. openDeadline is when the reaper substitutes a robot into a freshly
-// opened game (ignored when joining one). The bag seed defaults to random; params.Seed
+// game (joined=true), or a fresh open game seating only the caller with an empty
+// opponent seat that a human or the reaper's robot fills later. A re-enqueue while the
+// caller is already waiting opens another game rather than returning their own.
+// openDeadline is when the reaper substitutes a robot into a freshly opened game
+// (ignored when joining one). The bag seed defaults to random; params.Seed
 // pins it. First-move fairness comes from seating the caller at seat 0 or seat 1
 // (derived from the seed): seated at seat 1, the still-empty seat 0 moves first, so the
 // caller just waits for the opponent. It backs the lobby auto-match enqueue.

backend/internal/game/store.go

@@ -188,37 +188,25 @@ func openMatchKey(variant string, multipleWords bool) int64 {
 }
 
 // OpenOrJoin atomically resolves an auto-match enqueue for accountID into the game it
-// lands in: it re-uses the caller's own still-open game (joined=false, created=false,
-// a re-enqueue is idempotent), joins another player's waiting open game and flips it
-// active (joined=true), or opens a fresh game seating the caller with an empty
-// opponent seat (created=true). ins supplies the new game's immutable fields and is
-// used only when a game is created. A transaction-scoped advisory lock on the
-// (variant, rule) bucket serialises concurrent enqueues so two callers pair rather
-// than each opening a game. seats is the two-seat arrangement (the caller and uuid.Nil
-// for the still-empty opponent, in the chosen order) used only when a game is created;
-// callerName is the caller's display-name snapshot, stamped on their seat whether they
-// open a fresh game or fill another player's open one.
+// lands in: it joins another player's waiting open game and flips it active
+// (joined=true), or opens a fresh game seating the caller with an empty opponent seat
+// (created=true). A re-enqueue while the caller already has an open game in the bucket
+// opens another fresh game (or joins a different player's) rather than returning the
+// caller's own, so tapping "random opponent" again always starts a new search. ins
+// supplies the new game's immutable fields and is used only when a game is created. A
+// transaction-scoped advisory lock on the (variant, rule) bucket serialises concurrent
+// enqueues so two callers pair rather than each opening a game. seats is the two-seat
+// arrangement (the caller and uuid.Nil for the still-empty opponent, in the chosen
+// order) used only when a game is created; callerName is the caller's display-name
+// snapshot, stamped on their seat whether they open a fresh game or fill another
+// player's open one.
 func (s *Store) OpenOrJoin(ctx context.Context, accountID uuid.UUID, callerName string, ins gameInsert, seats []seatInsert) (gameID uuid.UUID, joined, created bool, err error) {
 	err = withTx(ctx, s.db, func(tx *sql.Tx) error {
 		if _, e := tx.ExecContext(ctx, `SELECT pg_advisory_xact_lock($1)`,
 			openMatchKey(ins.variant, ins.multipleWordsPerTurn)); e != nil {
 			return fmt.Errorf("open match lock: %w", e)
 		}
-		// 1. The caller's own still-open game for this bucket — a re-enqueue is idempotent.
-		var own uuid.UUID
-		switch e := tx.QueryRowContext(ctx,
-			`SELECT g.game_id FROM backend.games g
-			   JOIN backend.game_players p ON p.game_id = g.game_id
-			  WHERE g.status = 'open' AND g.variant = $1 AND g.multiple_words_per_turn = $2 AND p.account_id = $3
-			  LIMIT 1`,
-			ins.variant, ins.multipleWordsPerTurn, accountID).Scan(&own); {
-		case e == nil:
-			gameID = own
-			return nil
-		case !errors.Is(e, sql.ErrNoRows):
-			return fmt.Errorf("find own open game: %w", e)
-		}
-		// 2. Another player's open game waiting for an opponent — fill its seat and start it.
+		// 1. Another player's open game waiting for an opponent — fill its seat and start it.
 		var other uuid.UUID
 		switch e := tx.QueryRowContext(ctx,
 			`SELECT g.game_id FROM backend.games g
@@ -237,7 +225,7 @@ func (s *Store) OpenOrJoin(ctx context.Context, accountID uuid.UUID, callerName
 		case !errors.Is(e, sql.ErrNoRows):
 			return fmt.Errorf("find open game: %w", e)
 		}
-		// 3. None waiting — open a fresh game seating the caller (the other seat empty).
+		// 2. None waiting — open a fresh game seating the caller (the other seat empty).
 		if e := insertGameTx(ctx, tx, ins, seats); e != nil {
 			return e
 		}