Pass parameter to hooked function using custom page template

Based upon this I have tried to write the following code as:

Custom Page template:

    /*
 Template Name: product_filter
     */
    get_header();
    do_action( 'pre_get_posts', 'COOLING');

Functions.php

add_action('pre_get_posts','shop_filter_cat',10,1);

 function shop_filter_cat($query, $arg) {
    if (!is_admin()  is_post_type_archive( 'product' )  $query-is_main_query()) {
       $query-set('tax_query', array(
                    array ('taxonomy' = 'product_cat',
                                       'field' = 'slug',
                                        'terms' = $arg
                                 )
                     )
       );   
    }
 }

But I have got following warning:

Warning: Missing argument 2 for shop_filter_cat(), called in E:\xampp\htdocs\wordpress\wp-includes\plugin.php on line 600 and defined in E:\xampp\htdocs\wordpress\wp-content\themes\storefront\functions.php on line 56

and error:

Fatal error: Uncaught Error: Call to a member function is_main_query() on string in E:\xampp\htdocs\wordpress\wp-content\plugins\woocommerce\includes\wc-deprecated-functions.php:677 Stack trace: #0 E:\xampp\htdocs\wordpress\wp-includes\plugin.php(524): wc_shop_order_status_backwards_compatibility('COOLING') #1 E:\xampp\htdocs\wordpress\wp-content\themes\storefront\testing.php(6): do_action('pre_get_posts', 'COOLING') #2 E:\xampp\htdocs\wordpress\wp-includes\template-loader.php(75): include('E:\xampp\htdocs...') #3 E:\xampp\htdocs\wordpress\wp-blog-header.php(19): require_once('E:\xampp\htdocs...') #4 E:\xampp\htdocs\wordpress\index.php(17): require('E:\xampp\htdocs...') #5 {main} thrown in E:\xampp\htdocs\wordpress\wp-content\plugins\woocommerce\includes\wc-deprecated-functions.php on line 677