Allow shortcodes in WooCommerce variation attributes in Cart, Checkout and Order pages

I have a product with a few variations that need to show a shortcode that returns a date in format Month-YYYY: [prox_meses="1"].

After googling a bit I managed to allow shortcodes in the single product page, inside the variations dropdown using the following code:

// Single product page
function display_shortcode_in_variation_names( $term, $term_obj ) {
    $product = wc_get_product();
    $id = $product->get_id();
    if ( empty( $term ) || empty( $id ) ) {
        return $term;
    }
    if ( $product->is_type( 'variable' ) ) {
        $product_variations = $product->get_available_variations();
    } else {
        return $term;
    }

    foreach ( $product_variations as $variation ) {
        if ( count( $variation['attributes'] ) > 1 ) {
            return $term;
        }
        $attribute = array_values( $variation['attributes'] )[0];

        if ( $attribute === $term_obj->slug ) {
            $term = do_shortcode($term);
        }
    }
    return $term;
}
add_filter( 'woocommerce_variation_option_name', 'display_shortcode_in_variation_names', 10, 2 );

But the shortcode isn't working in the Cart, Checkout or Order information. I'm not sure how to get that working.