Sync session URL when opening chats

frontend/app/components/assistant-ui/thread-list.tsx

@@ -24,6 +24,7 @@ import {
 	readActiveSessionId,
 	writeActiveSessionId,
 } from "@/lib/claw-active-session";
+import { pushHomeUrl, pushSessionUrl } from "@/lib/claw-session-url";
 import { useClawSessionReplay } from "@/lib/claw-session-replay";
 
 type ClawSession = {
@@ -121,6 +122,7 @@ const ThreadListNew: FC = () => {
 		<div
 			onClickCapture={() => {
 				clearActiveSessionId();
+				pushHomeUrl();
 				window.dispatchEvent(new Event("claw-active-session-cleared"));
 			}}
 		>
@@ -262,6 +264,7 @@ const ClawSessionList: FC = () => {
 									onClick={async () => {
 										setOpenMenuSessionId(null);
 										writeActiveSessionId(session.session_id);
+										pushSessionUrl(session.session_id);
 										setActiveSessionId(session.session_id);
 										setLoadingSessionId(session.session_id);
 										try {