How to show the current category of an article with CPT UI

You can use get_the_terms to retrieve the terms of a specific taxonomy of each post. You can use this inside the loop:

$terms = get_the_terms( get_the_ID(), 'promo' );
foreach ( $terms as $term ) {
    echo $term->name;
}

get_the_terms returns an array of terms and each term has the following properties:

WP_Term Object
(
[term_id] =>
[name] =>
[slug] =>
[term_group] =>
[term_taxonomy_id] =>
[taxonomy] =>
How to show the current category of an article with CPT UI =>
[parent] =>
[count] =>
[filter] =>
)