Hide the 'qpm_form' post type from searches and archives if membership is required to access.

hide_qpm_form_filter_post_types.php

<?php
/**
 * Hide the 'qpm_form' post type from searches and archives if membership is required to access.
 *
 * You can add this recipe to your site by creating a custom plugin
 * or using the Code Snippets plugin available for free in the WordPress repository.
 * Read this companion article for step-by-step directions on either method.
 * https://www.paidmembershipspro.com/create-a-plugin-for-pmpro-customizations/
 */
function hide_qpm_form_filter_post_types( $post_types ) {
    $post_types[] = 'qpm_form';
    return $post_types;
}
add_filter( 'pmpro_search_filter_post_types', 'hide_qpm_form_filter_post_types' );