I have a plugin that adds custom admin bar items, but I'd like them to appear all the way to the left. I know I can add and remove menu items with $wp_admin_bar->add_menu() etc, but how can I reorder them?

I have a plugin that adds custom admin bar items, but I'd like them to appear all the way to the left. I know I can add and remove menu items with $wp_admin_bar->add_menu() etc, but how can I reorder them?

Edit: It looks like the admin bar menu item orders are defined in wp-includes/class-wp-admin-bar.php, but I can't figure out how to change this order from within my plugin function.

            add_action( 'admin_bar_menu', 'wp_admin_bar_sidebar_toggle', 0 );
            add_action( 'admin_bar_menu', 'wp_admin_bar_wp_menu', 10 );
            add_action( 'admin_bar_menu', 'wp_admin_bar_my_sites_menu', 20 );
            add_action( 'admin_bar_menu', 'wp_admin_bar_site_menu', 30 );