Chrome user menu shouldn't close if a tab steals focus

chrome/browser/ui/views/profiles/new_avatar_button.cc

Index: chrome/browser/ui/views/profiles/new_avatar_button.cc
diff --git a/chrome/browser/ui/views/profiles/new_avatar_button.cc b/chrome/browser/ui/views/profiles/new_avatar_button.cc
index 0fa981f6ef08fb36f9c2566b4ac52aaac0c5089a..f7e2db37c3e55863160c793f66cb1bafb55de937 100644
--- a/chrome/browser/ui/views/profiles/new_avatar_button.cc
+++ b/chrome/browser/ui/views/profiles/new_avatar_button.cc
@@ -120,8 +120,14 @@ NewAvatarButton::~NewAvatarButton() {
 }
 
 bool NewAvatarButton::OnMousePressed(const ui::MouseEvent& event) {
-  // Prevent the bubble from being re-shown if it's already showing.
-  suppress_mouse_released_action_ = ProfileChooserView::IsShowing();
+  // Prevent the bubble from being re-shown if it's already showing in the
+  // current browser and Hide it if it's showing in another browser.
+  ProfileChooserView::ShowingType show_type =
+      ProfileChooserView::IsShowingInBrowser(browser_);
+  if (show_type == ProfileChooserView::IS_SHOWING)
+    suppress_mouse_released_action_ = true;
+  else if (show_type == ProfileChooserView::IS_SHOWING_IN_ANOTHER_BROWSER)
+    ProfileChooserView::Hide();
   return LabelButton::OnMousePressed(event);
 }