Even better (and more future-proof), using the built-in acf functionality: In your functions.php:
// I don't want the default ACF styles
add_action('wp_enqueue_scripts', function() {
wp_deregister_style('acf-global');
wp_deregister_style('acf-input');
wp_deregister_style('acf-field-group');
});
In your Templates:
// we are using the standard function here
acf_form_head();
…and in your ajax javascript render function:
// again, standard functionality :)
acf.do_action('ready', $('body'));