Fix live activity streaming and replay summary

frontend/app/app/api/chat/route.ts

@@ -56,6 +56,7 @@ type StreamState = {
 	phase: "waiting" | "queued" | "running" | "done";
 	runId?: string;
 	announcedToolCallKeys: Set<string>;
+	streamedToolCallIds: Set<string>;
 };
 
 type ChatRequestBody = {
@@ -112,6 +113,7 @@ export async function POST(req: Request) {
 				textStreamed: false,
 				phase: "waiting",
 				announcedToolCallKeys: new Set<string>(),
+				streamedToolCallIds: new Set<string>(),
 			};
 			writer.write({ type: "start" });
 			writer.write({ type: "start-step" });
@@ -142,7 +144,7 @@ export async function POST(req: Request) {
 					delta: `\n思考并执行完成，用时 ${formatDuration(elapsedMs)}。`,
 				});
 				writer.write({ type: "reasoning-end", id: "reasoning-1" });
-				writeToolTrace(writer, payload.transcript);
+				writeToolTrace(writer, payload.transcript, streamState);
 				if (!streamState.textStreamed) {
 					writer.write({ type: "text-start", id: "text-1" });
 					writer.write({ type: "text-delta", id: "text-1", delta: text });
@@ -183,7 +185,13 @@ export async function POST(req: Request) {
 		},
 	});
 
-	return createUIMessageStreamResponse({ stream });
+	return createUIMessageStreamResponse({
+		stream,
+		headers: {
+			"Cache-Control": "no-cache, no-transform",
+			"X-Accel-Buffering": "no",
+		},
+	});
 }
 
 function formatDuration(ms: number) {
@@ -199,6 +207,7 @@ function formatDuration(ms: number) {
 function writeToolTrace(
 	writer: UIMessageStreamWriter<UIMessage>,
 	transcript?: ClawTranscriptEntry[],
+	streamState?: StreamState,
 ) {
 	if (!transcript?.length) return;
 
@@ -216,6 +225,7 @@ function writeToolTrace(
 			const toolCallId = call.id;
 			const toolName = call.function?.name ?? call.name;
 			if (!toolCallId || !toolName) continue;
+			if (streamState?.streamedToolCallIds.has(toolCallId)) continue;
 
 			writer.write({
 				type: "tool-input-available",
@@ -539,6 +549,7 @@ function writeRuntimeEvent(
 		}
 	}
 	if (event.type === "tool_start" && event.tool_call_id && event.tool_name) {
+		streamState?.streamedToolCallIds.add(event.tool_call_id);
 		writer.write({
 			type: "tool-input-available",
 			toolCallId: event.tool_call_id,