Add specific field types to the Woocommerce order and cart. Replace textarea with the type of field that you would like to include in the cart.

add_filter( 'wc_fp_exclude_fields', 'frm_adjust_exclude_fields' );
function frm_adjust_exclude_fields( $exclude ) {
    $key = array_search( 'textarea', $exclude );
    if ( $key !== false ) {
        unset( $exclude[ $key ] );
    }
    return $exclude;
}