feat(chat): unread read-receipts with lobby/game dot and history-open ack

Persist per-message read state as a chat_messages.unread_seats bitmask
(migration 00008): a text message seeds every recipient seat's bit, a nudge
only the awaited seat's. A seat's bit clears when the player opens the move
history or chat (POST /games/:id/chat/read, sent only when something is
unread), and a nudge additionally clears when its recipient answers by moving
(a wired game NudgeClearer, dependency-inverted so game keeps off social).

UI shows a per-viewer unread dot in the lobby (next to the opponent) and the
game score bar — the unread_chat game-view flag seeds it from authoritative
REST views, live chat/nudge events raise it. Opening the move history counts
as reading (even without entering chat): the 💬 fade-blinks twice and the
client acks. Admin Messages gains an unread-only filter, a read/unread column,
and a per-message card with the per-seat read breakdown. Observability:
chat_read_duration histogram + chat_unread_messages gauge + social tracing.

backend/internal/adminconsole/render_test.go

@@ -35,7 +35,8 @@ func TestRendererRendersEveryPage(t *testing.T) {
 		{"games", GamesView{Items: []GameRow{{ID: "g-open", Variant: "scrabble_en", Status: "open"}}, Status: "open", Pager: NewPager(1, 50, 1)}, "?status=open"},
 		{"game_detail", GameDetailView{ID: "g1", Variant: "scrabble_en", Seats: []SeatRow{{Seat: 0, DisplayName: "Kaya"}}}, "Seats"},
 		{"complaints", ComplaintsView{Items: []ComplaintRow{{ID: "c1", Word: "qi", Status: "open"}}, Status: "open", Pager: NewPager(1, 50, 1)}, "qi"},
-		{"messages", MessagesView{Items: []MessageRow{{ID: "m1", SenderID: "a1", SenderName: "Kaya", Source: "telegram", Body: "good luck", GameID: "g1"}}, Pager: NewPager(1, 50, 1)}, "good luck"},
+		{"messages", MessagesView{Items: []MessageRow{{ID: "m1", SenderID: "a1", SenderName: "Kaya", Source: "telegram", Body: "good luck", GameID: "g1", Unread: true}}, UnreadOnly: true, Pager: NewPager(1, 50, 1)}, "unread only"},
+		{"chatmessage", ChatMessageDetailView{ID: "m1", GameID: "g1", SenderID: "a1", SenderName: "Kaya", Source: "telegram", Kind: "message", Body: "good luck", Unread: true, Seats: []ChatSeatStatusRow{{Seat: 0, AccountID: "a1", DisplayName: "Kaya", Role: "sender"}, {Seat: 1, AccountID: "b2", DisplayName: "Opp", Role: "unread"}}}, "Read by seat"},
 		{"feedback", FeedbackView{Items: []FeedbackRow{{ID: "f1", AccountID: "a1", SenderName: "Kaya", Source: "telegram", Channel: "web", HasAttachment: true, Replied: true}}, Status: "unread", Pager: NewPager(1, 50, 1)}, "replied"},
 		{"feedback_detail", FeedbackDetailView{ID: "f1", AccountID: "a1", SenderName: "Kaya", Channel: "telegram", InterfaceLanguage: "en", BotLanguage: "ru", Body: "please fix the board", HasAttachment: true, AttachmentName: "shot.png", IsImage: true, Banned: true}, "bot: ru"},
 		{"complaint_detail", ComplaintDetailView{ID: "c1", Word: "qi", Variant: "scrabble_en"}, "Resolve"},