Pre_get_posts to exclude latest posts of a custom taxonomy, can't find the error

I am trying to exclude the latest three posts which have the custom taxonomy "video" from the homepage loop.

The hook I have written is the following:

    function main_loop_excludes($queryhome){
    $arg = array( 'numberposts' => '3', 'tax_query' => array(
        array(
            'taxonomy' => 'post_type',
            'field' => 'slug',
            'terms' => 'video',
        )
    ) );
    $latest_featured = wp_get_recent_posts( $arg );
    if($queryhome->is_home()){
        $queryhome->set('post__not_in',array($latest_featured[0]["ID"]));
    }
}
add_action('pre_get_posts','main_loop_excludes');

But the problem is that I get blank page. Can you find the error? Thanks in advance!