Sync session URL when opening chats

frontend/app/components/assistant-ui/threadlist-sidebar.tsx

@@ -51,6 +51,7 @@ import {
 	writeActiveSessionId,
 } from "@/lib/claw-active-session";
 import { useClawSessionReplay } from "@/lib/claw-session-replay";
+import { pushHomeUrl, pushSessionUrl } from "@/lib/claw-session-url";
 
 type ThreadListSidebarProps = React.ComponentProps<typeof Sidebar> & {
 	account: ClawAccount;
@@ -201,6 +202,7 @@ function CollapsedSidebarRail({
 				<div
 					onClickCapture={() => {
 						clearActiveSessionId();
+						pushHomeUrl();
 						window.dispatchEvent(new Event("claw-active-session-cleared"));
 					}}
 				>
@@ -404,6 +406,7 @@ function useSidebarSessions(open: boolean) {
 		const cleanSessionId = normalizeSessionId(sessionId);
 		if (!cleanSessionId) return;
 		writeActiveSessionId(cleanSessionId);
+		pushSessionUrl(cleanSessionId);
 		setLoadingSessionId(sessionId);
 		try {
 			const response = await fetch(`/api/claw/sessions/${cleanSessionId}`, {