fix(borrow): improve confirmation UX — proactive focus and longer timeout

The borrow confirmation overlay was easily missed because the Agent
Window stole focus and the 5-second auto-deny was too aggressive for
users who had context-switched away.

- Focus the user window proactively when a borrow request is issued so
  the overlay is immediately visible even when the Agent Window was
  last focused.
- Raise CONFIRMATION_TIMEOUT_MS from 5 s to 60 s, giving users enough
  time to notice and respond — the OS notification with
  requireInteraction: true now has a matching window of usefulness.

Co-authored-by: Cursor <cursoragent@cursor.com>

apps/extension/src/content/__tests__/BorrowConfirmationOverlay.test.tsx

@@ -23,7 +23,7 @@ describe("BorrowConfirmationOverlay", () => {
             id: "req-1",
             isActiveTab: true,
             tabTitle: "Example",
-            timeoutMs: 5000,
+            timeoutMs: 60_000,
             onAllow,
             onDeny,
           },
@@ -32,7 +32,7 @@ describe("BorrowConfirmationOverlay", () => {
     );
 
     expect(screen.getByText("允许借用标签页？")).toBeTruthy();
-    for (let i = 0; i < 5; i++) {
+    for (let i = 0; i < 60; i++) {
       await act(async () => {
         await vi.advanceTimersByTimeAsync(1000);
       });
@@ -66,7 +66,7 @@ describe("BorrowConfirmationOverlay", () => {
             id: "req-fallback",
             isActiveTab: true,
             tabTitle: "Example",
-            timeoutMs: 5000,
+            timeoutMs: 60_000,
             onAllow,
             onDeny,
           },
@@ -74,7 +74,7 @@ describe("BorrowConfirmationOverlay", () => {
       />,
     );
 
-    for (let i = 0; i < 5; i++) {
+    for (let i = 0; i < 60; i++) {
       await act(async () => {
         await vi.advanceTimersByTimeAsync(1000);
       });

apps/extension/src/tools/__tests__/borrow-confirmation.test.ts

@@ -127,6 +127,38 @@ describe("requestBorrowConfirmation", () => {
     expect(message.requestId.length).toBeGreaterThan(0);
   });
 
+  it("proactively focuses the user window before sending the overlay message", async () => {
+    tabs.get.mockResolvedValueOnce({ id: 42, title: "Tab" });
+    windows.getLastFocused.mockResolvedValueOnce(
+      userWindowWithActiveTab({ windowId: 77, tabId: 7, url: "https://app.example/" }),
+    );
+    tabs.sendMessage.mockResolvedValueOnce({ type: "borrow-response", allowed: true });
+
+    const pending = requestBorrowConfirmation(42, {
+      deps: { tabs, windows, notifications },
+    });
+    await vi.runAllTimersAsync();
+    await pending;
+
+    expect(windows.update).toHaveBeenCalledWith(77, { focused: true });
+  });
+
+  it("still proceeds when proactive window focus fails", async () => {
+    tabs.get.mockResolvedValueOnce({ id: 42, title: "Tab" });
+    windows.getLastFocused.mockResolvedValueOnce(
+      userWindowWithActiveTab({ windowId: 77, tabId: 7, url: "https://app.example/" }),
+    );
+    windows.update.mockRejectedValueOnce(new Error("window gone"));
+    tabs.sendMessage.mockResolvedValueOnce({ type: "borrow-response", allowed: true });
+
+    const pending = requestBorrowConfirmation(42, {
+      deps: { tabs, windows, notifications },
+    });
+    await vi.runAllTimersAsync();
+
+    expect(await pending).toBe(true);
+  });
+
   it("sends confirmation to the borrow target when it is the active tab", async () => {
     tabs.get.mockResolvedValueOnce({ id: 42, title: "Active Tab" });
     windows.getLastFocused.mockResolvedValueOnce(

apps/extension/src/tools/borrow-confirmation.ts

@@ -24,7 +24,7 @@ export interface BorrowResponseMessage {
   allowed: boolean;
 }
 
-export const CONFIRMATION_TIMEOUT_MS = 5000;
+export const CONFIRMATION_TIMEOUT_MS = 60_000;
 const EXIT_ANIMATION_MS = 150;
 /** Matches BorrowConfirmationOverlay progress ring/bar transition (duration-1000). */
 export const PROGRESS_TRANSITION_MS = 1000;
@@ -480,6 +480,13 @@ export async function requestBorrowConfirmation(
       settle(false);
     }, BACKGROUND_TIMEOUT_MS);
 
+    // Bring the user window to the front so the overlay is visible even
+    // when the Agent Window has stolen focus. This is fire-and-forget: if
+    // it fails the overlay / OS notification still give the user a path.
+    void windowsApi.update(notificationAnchor.windowId, { focused: true }).catch((err) => {
+      console.debug("[bsk borrow] proactive focus of user window failed", err);
+    });
+
     // Surface the OS notification *before* messaging any candidate so the
     // user has a parallel signal even if every content script is missing.
     // The Allow / Deny buttons let the user authorize explicitly when the