The add_menu_page documentation says to pass the menu title as the second parameter:

add_menu_page('Page Title', 'Menu Title', ...);

When adding more pages later via add_submenu_page, the main page becomes the first entry in the submenu:

However, I want the first item in the list to have a different name (but still point to the same page), the way WordPress itself does it:

How could I accomplish that in my plugin?