Exclude post, page or product from Enfold's AJAX search?

I was able to implement this code in functions.php to ensure a specific product would not show up on the full search results archive page…

function jp_search_filter( $query ) {
  if ( ! $query->is_admin && $query->is_search && $query->is_main_query() ) {
    $query->set( 'post__not_in', array( 5337 ) );
  }
}
add_action( 'pre_get_posts', 'jp_search_filter' );

Sidebar: For those of you reading who want to exclude additional pages, just add more page IDs after the array. So 5337,3445,6789 and so on. More information here – https://www.johnparris.com/exclude-certain-pages-from-wordpress-search-results/

But this code does not exclude results from the AJAX Enfold drop-down. The result will show up and you can click on it to get to the page. If you click on the View All Results link at the bottom of the AJAX search, you will not see the result on that page (the archive search results page).

So, is their code I could add to functions.php to exclude a result or result from the Enfold AJAX search?

Before I go adding plugins to try stuff out, I’d prefer to go this route since I’m only planning to exclude one or two pages/products. I’m already running a lot of plugins…