Hook to change Custom Tag Taxonomy Links?

If anyone else is looking for this in the future, the result I came up with is this one…

/* Filter Custom Taxonomy Tag HTML Links */
function custom_term_link_url($content) {
    $current_path="news-tag";
    $new_path="news/tag";
    $content = str_replace($current_path, $new_path, $content);
    return $content;
}
add_filter('term_link', 'custom_term_link_url');

It will run code on Taxonomy Links. I still need to add in functionality to work with more then 1 custom taxonomy but this is a good start and works for 1