Try to add the following PHP code snippet to the child theme functions.php file to add it to your header

add_filter( 'basel_header_configuration', 'basel_custom_header_configuration', 1, 1 );

function basel_custom_header_configuration() {

		return array(
			'container' => array(
				'wrapp-header' => array(
					'logo',
					'main_nav',
					'right-column' => array(
						'header_links',
						'search',
						'wishlist',
						'cart',
						'mobile_icon',
					)
				)	
			),
		);
}

If you want, you can add it to the top bar with the following code in the file header.php

<?php basel_header_block_header_links(); ?>

Regards