Genesis framework add one more responsive navigation menu.

function.php

<?php
// Do NOT include the opening php tag.

/**
 * Add tertiary responsive navigation menu.
 *
 * @author Nic Beltramelli
 */

/* Rename the default navigation menus add the tertiary menu */
add_theme_support(
	'genesis-menus', [
		'primary'   => __( 'Header Right Menu', 'genesis-advanced' ),
		'secondary' => __( 'Header Left Menu', 'genesis-advanced' ),
		'tertiary'  => __( 'After Header Menu', 'genesis-advanced' ),
	]
);

/* Add attributes for navigation elements */
add_filter( 'genesis_attr_nav-custom', 'genesis_attributes_nav' );

/**
 * Add ID markup to custom navigation
 *
 * @param array $attributes Existing attributes for custom navigation element.
 * @return array Amended attributes for custom navigation element.
 */
add_filter(
	'genesis_attr_nav-custom', function ( $attributes ) {

		$attributes['id'] = 'genesis-nav-tertiary';

		return $attributes;
	}
);

/**
 * Add skip link for tertiary navigation
 *
 * @param array $links Exiting skiplinks.
 * @return array Amended skiplinks.
 */
add_filter(
	'genesis_skip_links_output', function ( $links ) {

		if ( genesis_nav_menu_supported( 'tertiary' ) &&
			has_nav_menu( 'tertiary' ) ) :

			$links['genesis-nav-tertiary'] = __( 'Skip to tertiary navigation', 'genesis-advanced' );

		endif;

		return $links;
	}
);

/* Reposition the primary navigation menu */
remove_action( 'genesis_after_header', 'genesis_do_nav' );
add_action( 'genesis_header', 'genesis_do_nav', 12 );

/* Reposition the secondary navigation menu */
remove_action( 'genesis_after_header', 'genesis_do_subnav' );
add_action( 'genesis_header', 'genesis_do_subnav', 5 );

/* Display the tertiary menu */
add_action(
	'genesis_after_header', function () {

		// Do nothing if menu not supported.
		if ( ! genesis_nav_menu_supported( 'tertiary' ) ||
			! has_nav_menu( 'tertiary' ) ) :

			return;

		endif;

		$class = 'menu genesis-nav-menu menu-tertiary';

		if ( genesis_superfish_enabled() ) :

			$class .= ' js-superfish';

		endif;

		genesis_nav_menu(
			[
				'theme_location' => 'tertiary',
				'menu_class'     => $class,
        'container'       => 'div',
				'container_class' => 'wrap',
			]
		);

	}, 10
);

/* Define responsive menu settings */
function genesis_advanced_responsive_menu_settings() {

	$settings =
	[
		'mainMenu'         => __( 'Menu', 'genesis-advanced' ),
		'menuIconClass'    => 'dashicons-before dashicons-menu',
		'subMenu'          => __( 'Submenu', 'genesis-advanced' ),
		'subMenuIconClass' => 'dashicons-before dashicons-arrow-down-alt2',
		'menuClasses'      =>
		[
			'combine' =>
			[
				'.nav-primary',
				'.nav-secondary',
			],
			'others'  =>
			[
				'.nav-tertiary',
			],
		],
	];

	return $settings;
  
}