Scope live chat to the current match and save match history

src/lib/match-history.ts

@@ -1,3 +1,5 @@
+import type { ContextualChatEntry } from './game-chat.js';
+
 // Reset/abandoned games at round 1 do not qualify as gameplay records.
 export const MIN_RECORDED_ROUND = 2;
 
@@ -43,6 +45,7 @@ export interface MatchDetail extends ServerMatch {
     game: string;
     startObserved: boolean;
     players: MatchPlayer[];
+    chat: ContextualChatEntry[];
 }
 
 export interface MatchHistoryResponse {