fix(agent): bound push suppression to observed browser attention

web/src/lib/agent-push-browser.ts

@@ -94,7 +94,7 @@ export const disableAgentBrowserPush = () => controller.disable();
 export const refreshAgentBrowserPush = () => controller.refresh();
 
 const presence = createAgentPresenceReporter({
-  snapshot: () => ({ visibility: document.visibilityState === "visible" ? "visible" : "hidden", focused: document.hasFocus() }),
+  snapshot: () => ({ visibility: !document.hidden && document.visibilityState === "visible" ? "visible" : "hidden", focused: document.hasFocus() }),
   send: (value, keepalive) => { const id = getAgentPresenceSessionId(); return id ? api.presence(id, value, keepalive) : Promise.reject(new Error("Attention session unavailable.")); },
 });
 let stopSession: (() => void) | undefined;

web/src/lib/agent-room.ts

@@ -145,7 +145,7 @@ export function parseAgentRoomEvent(raw: string): AgentRoomEvent | null {
 }
 export function agentAuthFrame(token: string | null, cursor: string, presenceSessionId?: string): string {
   return JSON.stringify({ type: "auth", token, after: normalizeAgentCursor(cursor),
-    ...(agentPushUuid(presenceSessionId) ? { clientKind: "web", presenceSessionId } : {}) });
+    clientKind: "web", ...(agentPushUuid(presenceSessionId) ? { presenceSessionId } : {}) });
 }
 
 export type AgentSubmission = { id: number; status: "queued" | "placed" | "done" | "unanswered"; messageId: string; attachmentIds?: string[] };