paired: carry forward latest owner final across superseded tasks

src/db/paired-turn-outputs.ts

@@ -11,6 +11,7 @@ export function insertPairedTurnOutputInDatabase(
   turnNumber: number,
   role: PairedRoomRole,
   outputText: string,
+  createdAt?: string,
 ): void {
   if (outputText.length > MAX_TURN_OUTPUT_CHARS) {
     logger.warn(
@@ -36,7 +37,7 @@ export function insertPairedTurnOutputInDatabase(
       turnNumber,
       role,
       outputText.slice(0, MAX_TURN_OUTPUT_CHARS),
-      new Date().toISOString(),
+      createdAt ?? new Date().toISOString(),
     );
 }
 

src/db/runtime-paired.ts

@@ -300,6 +300,7 @@ export function insertPairedTurnOutput(
   turnNumber: number,
   role: PairedRoomRole,
   outputText: string,
+  createdAt?: string,
 ): void {
   insertPairedTurnOutputInDatabase(
     requireDatabase(),
@@ -307,6 +308,7 @@ export function insertPairedTurnOutput(
     turnNumber,
     role,
     outputText,
+    createdAt,
   );
 }