Get posts that do not have the same tags as current

I found an answer to my own question:

If I use the tax_query arg then I could specify 'operator' => 'NOT IN' like so:

$events = tribe_get_events([
    'tax_query' => array(
        array(
            'taxonomy' => 'post_tag',
            'field'    => 'name',
            'terms'    => $current_tag,
            'operator'  => 'NOT IN' // HERE
        )
        ),
    'start_date'     => 'now',
    'eventDisplay'   => 'list',
    'posts_per_page' => 3,
]);