Stage 17 #4: enrich the out-of-app your-turn push + add game-over

The Telegram 'your turn' notification now names the opponent and recaps their last
move (voiced as the opponent: «{name}: my move — «WORD». Score 120:95» for a scoring
play; a short 'swapped / passed, your turn' otherwise), and a new game-over
notification reports the result + final score when a game ends by any path (closing
play, all-pass, resign, timeout). Scores are recipient-first (the reader's score
leads), 2-4 players (120:95:80).

- schema: YourTurnEvent gains opponent_name/last_action/last_word/score_line
  (appended, backward-compatible); new GameOverEvent{result, score_line}. Go + UI
  bindings regenerated (flatc 23.5.26 + pnpm codegen).
- backend: notify.YourTurn enriched + notify.GameOver; emitMove resolves the mover's
  name and emits per-recipient (your_turn to the next mover, game_over to every seat),
  with recipient-first score lines built in one place.
- gateway: game_over joins the out-of-app whitelist (routing.go).
- connector: render builds the enriched your_turn + game_over text per language (en/ru).
- tests: notify round-trip (enriched + game_over), emit (enriched fields + game_over to
  all seats / per-seat result), connector render (en/ru), routing; integration replay
  (play → your_turn with real name; resign → game_over) green.
- docs: ARCHITECTURE push catalog + out-of-app set, FUNCTIONAL (+ _ru), PLAN tracker.

backend/internal/game/service.go

@@ -7,6 +7,7 @@ import (
 	"errors"
 	"fmt"
 	"slices"
+	"strconv"
 	"strings"
 	"time"
 
@@ -350,7 +351,7 @@ func (svc *Service) commit(ctx context.Context, gameID uuid.UUID, g *engine.Game
 	if err != nil {
 		return Game{}, err
 	}
-	svc.emitMove(post, rec)
+	svc.emitMove(ctx, post, rec)
 	return post, nil
 }
 
@@ -361,20 +362,92 @@ func (svc *Service) commit(ctx context.Context, gameID uuid.UUID, g *engine.Game
 // out-of-app push), so the actor is not notified out of band about their own move.
 // Delivery is best-effort (notify.Publisher never blocks) and the gateway fans each
 // event out to all of the recipient's live streams.
-func (svc *Service) emitMove(post Game, rec engine.MoveRecord) {
-	intents := make([]notify.Intent, 0, len(post.Seats)+1)
+func (svc *Service) emitMove(ctx context.Context, post Game, rec engine.MoveRecord) {
+	intents := make([]notify.Intent, 0, 2*len(post.Seats))
 	for _, s := range post.Seats {
 		intents = append(intents, notify.OpponentMoved(s.AccountID, post.ID, rec.Player, rec.Action.String(), rec.Score, rec.Total))
 	}
-	if post.Status == StatusActive {
+	switch post.Status {
+	case StatusActive:
 		if next, ok := seatAccount(post.Seats, post.ToMove); ok {
 			deadline := post.TurnStartedAt.Add(post.TurnTimeout)
-			intents = append(intents, notify.YourTurn(next, post.ID, deadline))
+			action := rec.Action.String()
+			word := ""
+			if action == "play" && len(rec.Words) > 0 {
+				word = rec.Words[0]
+			}
+			opponent := svc.displayName(ctx, post.Seats, rec.Player)
+			intents = append(intents, notify.YourTurn(next, post.ID, deadline, opponent, action, word, scoreLine(post, post.ToMove)))
+		}
+	case StatusFinished:
+		// The game just ended (any path: a closing play, all-pass, resign or timeout). Tell every
+		// seat, each with their own perspective + recipient-first score, so an offline player gets
+		// an out-of-app "game over" push (online players take it from the in-app refresh).
+		for _, s := range post.Seats {
+			intents = append(intents, notify.GameOver(s.AccountID, post.ID, seatResult(post.Seats, s.Seat), scoreLine(post, s.Seat)))
 		}
 	}
 	svc.pub.Publish(intents...)
 }
 
+// displayName resolves the display name of the account at the given seat, or "" when the seat
+// is absent or the lookup fails (the enriched push then falls back to its plain text).
+func (svc *Service) displayName(ctx context.Context, seats []Seat, seat int) string {
+	if svc.accounts == nil {
+		return ""
+	}
+	id, ok := seatAccount(seats, seat)
+	if !ok {
+		return ""
+	}
+	acc, err := svc.accounts.GetByID(ctx, id)
+	if err != nil {
+		return ""
+	}
+	return acc.DisplayName
+}
+
+// scoreLine formats the running scores with recipientSeat's score first, then the remaining
+// seats in seat order, colon-joined (e.g. "120:95:80") — the recipient-first form used in the
+// out-of-app notifications.
+func scoreLine(g Game, recipientSeat int) string {
+	n := len(g.Seats)
+	bySeat := make([]int, n)
+	for _, s := range g.Seats {
+		if s.Seat >= 0 && s.Seat < n {
+			bySeat[s.Seat] = s.Score
+		}
+	}
+	parts := make([]string, 0, n)
+	if recipientSeat >= 0 && recipientSeat < n {
+		parts = append(parts, strconv.Itoa(bySeat[recipientSeat]))
+	}
+	for seat := 0; seat < n; seat++ {
+		if seat != recipientSeat {
+			parts = append(parts, strconv.Itoa(bySeat[seat]))
+		}
+	}
+	return strings.Join(parts, ":")
+}
+
+// seatResult reports the finished-game outcome from recipientSeat's perspective: "draw" when no
+// seat is flagged the winner, "won" when recipientSeat is, otherwise "lost".
+func seatResult(seats []Seat, recipientSeat int) string {
+	winner := false
+	for _, s := range seats {
+		if s.IsWinner {
+			winner = true
+			if s.Seat == recipientSeat {
+				return "won"
+			}
+		}
+	}
+	if !winner {
+		return "draw"
+	}
+	return "lost"
+}
+
 // seatAccount returns the account seated at the given seat index, or false when
 // no seat matches (the slice is not assumed to be ordered by seat).
 func seatAccount(seats []Seat, seat int) (uuid.UUID, bool) {