Custom taxonomy category count

Hi David,

in this threat you supported Nacho in a similar task.

In my case I'm using a custom taxonomy named wg_chat_categorywhich is linked to a CPT named wg_seo_chat.

How would you revise the following PHP:

function single_post_cat_link_with_count() {
    $category = get_the_category();
    $first_cat = $category[0];
    printf( 
        '<a class="button" href="%1$s" title="%2$s">%3$s <span class="cat-count">%4$s</span></a>',
        esc_url( get_category_link( $first_cat->cat_ID) ),
        esc_attr( $first_cat->cat_name ),
        esc_html( $first_cat->cat_name ),
        esc_html( $first_cat->category_count )
    );
}

...in order to achieve the result on the page below. Please note, that the numbers in brackets have been manually added.

Thanks in advance.

Best,
Jan