Woocommerce - how to combine product filter and pagination?

Question

WordPress

Hello everyone!
I made a filter for products in a category, a simple one:

add_action( 'pre_get_posts', 'custom_products_filter' );
function custom_products_filter( $query ) {
  if (!is_product_category() || is_admin()){
    return;
  }

  if (isset($_GET['weight']) && $query->is_main_query()){
    $args = ['numberposts' => -1, 'weight' => $_GET['weight']];
    $products = wc_get_products($args);
    foreach ($products as $product){
      $ids[] = $product->get_id();
    }
    $query->set('post__in', $ids);
  }
}

But if you filter products not on the first page of the category, then the pagination value is saved - and the filtered products may not be enough to display on a page other than the first.
That is, the url looks like /product-category/govyadina/page/2/?weight%5B0%5D=0.1
I see the correct algorithm as follows:
if the current page is not the first page when applying the filter, then the pagination is reset to the beginning, and the filter is already applied there. That is, "page/2/" should be removed from the url. (and everything after ? leave)
And how to do it? Manually cut out the pagination parameter from the url and redirect?