Conditional Login/Logout menu item for registered menu in child theme

I'm trying to add a menu conditional login/logout item to a menu that I registered in a child theme.

I registered the menu like this in the child theme's functions.php:

function awsm_navigation_menus() {
    $locations = array( 
    'footer' => __( 'Footer Menu', 'text_domain' ),
    'account' => __( 'Account Menu', 'text_domain' ),
    );
    register_nav_menus( $locations ); }
add_action( 'init', 'awsm_navigation_menus' );

And the code for the menu item is a little further down:

add_filter( 'wp_nav_menu_items', 'awsm_loginout_menu_link', 10, 2 );

function awsm_loginout_menu_link( $items, $args ) {
   if ($args->theme_location == 'account') {
      if (is_user_logged_in()) {
         $items .= '<li class="right"><a href="'. wp_logout_url() .'">'. __("Log Out") .'</a></li>';
      } else {
         $items .= '<li class="right"><a href="'. wp_login_url(get_permalink()) .'">'. __("Log In") .'</a></li>';
      }
   }
   return $items;
}

It is working when I use ($args->theme_location == 'primary') but I need it in my own menu.