[Websearch] Fix UI flicker (#710)

* [Wbesarch] Fix UI flicker

Co-authored-by: Michael Fried mikelfried@gmail.com

* format

src/routes/conversation/[id]/+page.svelte

@@ -137,6 +137,7 @@
 			const encoder = new TextDecoderStream();
 			const reader = response?.body?.pipeThrough(encoder).getReader();
 			let finalAnswer = "";
+			const messageUpdates: MessageUpdate[] = [];
 
 			// set str queue
 			// ex) if the last response is => {"type": "stream", "token":
@@ -172,6 +173,10 @@
 						try {
 							const update = JSON.parse(el) as MessageUpdate;
 
+							if (update.type !== "stream") {
+								messageUpdates.push(update);
+							}
+
 							if (update.type === "finalAnswer") {
 								finalAnswer = update.text;
 								reader.cancel();
@@ -224,9 +229,11 @@
 				});
 			}
 
-			// reset the websearchMessages
 			webSearchMessages = [];
 
+			const lastMessage = messages[messages.length - 1];
+			lastMessage.updates = messageUpdates;
+
 			await invalidate(UrlDependency.ConversationList);
 		} catch (err) {
 			if (err instanceof Error && err.message.includes("overloaded")) {