WP_REST_Menu_Items_Controller::prepare_links( WP_Post $post )

	protected function prepare_links( $post ) {
		$links     = parent::prepare_links( $post );
		$menu_item = $this->get_nav_menu_item( $post->ID );

		if ( empty( $menu_item->object_id ) ) {
			return $links;
		}

		$path = '';
		$type = '';
		$key  = $menu_item->type;
		if ( 'post_type' === $menu_item->type ) {
			$path = rest_get_route_for_post( $menu_item->object_id );
			$type = get_post_type( $menu_item->object_id );
		} elseif ( 'taxonomy' === $menu_item->type ) {
			$path = rest_get_route_for_term( $menu_item->object_id );
			$type = get_term_field( 'taxonomy', $menu_item->object_id );
		}

		if ( $path && $type ) {
			$links['https://api.w.org/menu-item-object'][] = array(
				'href'       => rest_url( $path ),
				$key         => $type,
				'embeddable' => true,
			);
		}

		return $links;
	}