Product brand in productbox

I have a woocommerce store and I want to display the product brand in the product box. I have read many topics on stack overflow and tried many suggested solutions as you can see here:

echo "<strong>BRAND: ";
/*foreach ( $brands as $key => $brand ) :
    echo $brand->name;
endforeach;
echo "</strong><br/>";*/
$product_id  = get_the_id();
$product     = wc_get_product( $product_id );

$taxonomy    = <code>product_tag</code>;
$brand_names = wp_get_post_terms( $product_id, $taxonomy, array( 'fields' => 'names' ) );

// Get the brand name
$brand_name = reset( $brand_names );

echo $brand_name;
echo "</strong><br/>";

In my database in the wp_term_taxonomy table one of my brands get the taxonomy as ‘product_tag’:
https://i.stack.imgur.com/VAbfZ.png

These solutions didn’t work for me, the result comes back empty, and if i use “product_tag” as my parameter, only actual tags are shown. How can i display the product brand in front of product name in the product box in shop list?