Custom field value within taxonomy-value?

So I have created a custom field for Woocommerces product label. It seems to be working fine within the admin, question is; How do I make it appear on the site.

My custom field is called “cf_brands_logo”.

I assume you have to add it here (category-template.php around line 668)

foreach ( $tags as $key => $tag ) {
		$count = $counts[ $key ];
		$real_count = $real_counts[ $key ];
		$tag_link = '#' != $tag->link ? esc_url( $tag->link ) : '#';
		$tag_id = isset($tags[ $key ]->id) ? $tags[ $key ]->id : $key;
		$tag_name = $tags[ $key ]->name;$a[] = "<li class='brand-item'><a href='$tag_link'>$tag_name</a></li>";}
	switch ( $format ) :

As you can see, what’s being outputted is there between the li-elements. I’m shaky with php so i need a way to insert the “cf_brands_logo”-value.