将woocommerce产品变体自定义字段添加到REST API

Question

我已经能够使用以下方式向WooCommerce产品变体添加自定义字段：

add_action( 'woocommerce_variation_options_pricing', 'bbloomer_add_custom_field_to_variations', 10, 3 );
function bbloomer_add_custom_field_to_variations( $loop, $variation_data, $variation ) {
    woocommerce_wp_text_input( array(
        'id' => 'custom_field[' . $loop . ']',
        'class' => 'short',
        'label' => __( 'Custom Field TEST', 'woocommerce' ),
        'value' => get_post_meta( $variation->ID, 'custom_field', true )
    ));
}
add_action( 'woocommerce_save_product_variation', 'bbloomer_save_custom_field_variations', 10, 2 );
function bbloomer_save_custom_field_variations( $variation_id, $i ) {
    $custom_field = $_POST['custom_field'][$i];
    if ( isset( $custom_field ) ) update_post_meta( $variation_id, 'custom_field', esc_attr( $custom_field ) );
}
add_filter( 'woocommerce_available_variation', 'bbloomer_add_custom_field_variation_data' );
function bbloomer_add_custom_field_variation_data( $variations ) {
    $variations['custom_field'] = '<div class="woocommerce_custom_field">Custom Field: <span>' . get_post_meta( $variations[ 'variation_id' ], 'custom_field', true ) . '</span></div>';
    return $variations;
}

但是我想知道是否也可以将此自定义字段添加到REST API中吗？