Андрей Плюта

add_action( 'woocommerce_after_shop_loop_item', 'ruta_custom_product_card_details', 6 );

function ruta_custom_product_card_details() {
	global $post;

	if ( has_term( [ 'exclusive' ], 'product_cat', $post->ID ) ) {
		printf( '<div class="product-card__badges_exclusive">%s</div>', __( 'Exclusive', 'text-domain' ) );
	}
}