Here was the fix supplied by Flywheel support. They went above and beyond to help me figure this out. Amazing!
<?php
// let's load WordPress
require_once(ABSPATH . 'wp-load.php');
require_once(ABSPATH . 'wp-admin/includes/admin.php');
//send_nosniff_header();
nxs_ajax_webmethods();
die();
?>