Show Sticky Post at the top but do not show again in the loop?

The sticky posts are prepended on the first paginated part of the home page, so try this:

add_action( 'pre_get_posts', function( $q ) 
{
    if ( $q->is_home() && $q->is_main_query() && $q->get( 'paged' ) > 1 )
        $q->set( 'post__not_in', get_option( 'sticky_posts' ) );

} );

to remove it from the other paginated parts of the home page.

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