How do I draw my own submenu arrow in owner draw menus (and prevent windows from painting its arrow on top of mine)

Windows seems to draw the submenu arrow after I have done my painting in WM_DRAWITEM, how can I stop windows from drawing the arrow?

From stackoverflow

• http://www.codeguru.com/cpp/controls/menu/miscellaneous/article.php/c13017/Owner-Drawing-the-Submenu-Arrow.htm