Show standard or humburger menu on desktop depending on user selection in customizer

menu-options.php

<?php
if ( get_theme_mod( 'menu-style' ) == A ) {
	//Output standard menu
	$handle = 'themeprefix-style';
	
	$menu_style = '.main-navigation{ display: block; } .menu-toggle{ display: none; } ';
	
	wp_add_inline_style( $handle, $menu_style );
} else {
	//Output mobile menu
	$handle = 'themeprefix-style';
	$menu_style = '.main-navigation{ display: none; } .menu-toggle{ display: block; } ';
	
	wp_add_inline_style( $handle, $menu_style );
}

The above code would go inside a function callback which should be hooked to wp_enqueue_scripts via the add_action method. You may need to adjust class .main-navigation and .menu-toggle to match those of your theme.

P.S. You still need to take into account of the desktop view version not showing on mobile in the case of the output view being the standard view.