fix(webui): persist large sidebar ordering state

webui/src/lib/nanobot-client.ts

@@ -6,6 +6,7 @@ import type {
   OutboundMcpPresetMention,
   OutboundMedia,
   SessionMention,
+  SidebarStatePayload,
   GoalStateWsPayload,
   WorkspaceScopePayload,
 } from "./types";
@@ -870,6 +871,10 @@ export class NanobotClient {
     });
   }
 
+  setSidebarState(state: SidebarStatePayload): void {
+    this.queueSend({ type: "set_sidebar_state", state });
+  }
+
   // -- internals ---------------------------------------------------------
 
   private setStatus(status: ConnectionStatus): void {