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/templates/pages/chatmessage.gohtml

@@ -0,0 +1,28 @@
+{{define "content" -}}
+{{with .Data}}
+<h1>Message</h1>
+<nav class="subnav"><a href="/_gm/messages">&laquo; messages</a> · <a href="/_gm/games/{{.GameID}}">game</a> · <a href="/_gm/messages?game={{.GameID}}">game messages</a></nav>
+<section class="panel"><h2>Summary</h2>
+<ul class="kv">
+<li><b>Time</b> {{.CreatedAt}}</li>
+<li><b>Sender</b> <a href="/_gm/users/{{.SenderID}}">{{.SenderName}}</a> ({{.Source}})</li>
+<li><b>IP</b> {{.IP}}</li>
+<li><b>Kind</b> {{.Kind}}</li>
+<li><b>Read</b> {{if .Unread}}unread{{else}}read{{end}}</li>
+<li><b>Message</b> {{.Body}}</li>
+</ul>
+</section>
+<section class="panel"><h2>Read by seat</h2>
+<table class="list">
+<thead><tr><th>Seat</th><th>Player</th><th>Status</th></tr></thead>
+<tbody>
+{{range .Seats}}
+<tr><td>{{.Seat}}</td><td><a href="/_gm/users/{{.AccountID}}">{{if .DisplayName}}{{.DisplayName}}{{else}}{{.AccountID}}{{end}}</a></td><td>{{if eq .Role "read"}}<span class="ok">read</span>{{else if eq .Role "unread"}}unread{{else}}sender{{end}}</td></tr>
+{{else}}
+<tr><td colspan="3"><span class="note">no seats</span></td></tr>
+{{end}}
+</tbody>
+</table>
+</section>
+{{end}}
+{{- end}}