fix(workbench): stream turn timing to optimistic cards (#1970)

internal/cloud/server-workbench-http.ts

@@ -1837,6 +1837,11 @@ function turnSnapshot({ projection, result, session, trace }) {
     assistantMessageId: assistantMessage?.messageId ?? null,
     assistantText: finalText ?? null,
     finalResponse: projection.finalResponse ?? null,
+    timing: projection.timing ?? null,
+    startedAt: projection.timing?.startedAt ?? null,
+    lastEventAt: projection.timing?.lastEventAt ?? null,
+    finishedAt: projection.timing?.finishedAt ?? null,
+    durationMs: projection.timing?.durationMs ?? null,
     agentRun: result?.agentRun ?? null,
     trace: {
       traceId,

web/hwlab-cloud-web/src/stores/workbench.ts

@@ -1215,7 +1215,7 @@ function nonBlockingProjection(projection: ProjectionDiagnostic | null): Project
     if (!traceId) return;
     if (!shouldApplyActiveTraceAuthority(traceId, traceResultSessionId(turn))) return;
     const status = firstNonEmptyString(turn.status) ?? undefined;
-    applyTurnStatusSnapshot(traceId, { traceId, status, running: turn.running === true, terminal: turn.terminal === true, sessionId: firstNonEmptyString(turn.sessionId) ?? undefined, threadId: firstNonEmptyString(turn.threadId) ?? undefined, agentRun: turn.agentRun as AgentRunProvenance | undefined } as AgentChatResultResponse);
+    applyTurnStatusSnapshot(traceId, { ...turn, traceId, status, running: turn.running === true, terminal: turn.terminal === true, sessionId: firstNonEmptyString(turn.sessionId) ?? undefined, threadId: firstNonEmptyString(turn.threadId) ?? undefined, agentRun: turn.agentRun as AgentRunProvenance | undefined } as AgentChatResultResponse);
     if (turn.terminal === true || isTerminalMessageStatus(status)) void refreshTerminalTraceFromRest(traceId, "realtime-turn-snapshot");
   }