add birthday field in woocommerce customer

// Add field - my account
function action_woocommerce_edit_account_form() {   
    woocommerce_form_field( 'birthday_field', array(
        'type'        => 'date',
        'label'       => __( 'My Birth Date', 'woocommerce' ),
        'placeholder' => __( 'Date of Birth', 'woocommerce' ),
        'required'    => true,
    ), get_user_meta( get_current_user_id(), 'birthday_field', true ));
}
add_action( 'woocommerce_edit_account_form', 'action_woocommerce_edit_account_form' );

// Validate - my account
function action_woocommerce_save_account_details_errors( $args ){
    if ( isset($_POST['birthday_field']) && empty($_POST['birthday_field']) ) {
        $args->add( 'error', __( 'Please provide a birth date', 'woocommerce' ) );
    }
}
add_action( 'woocommerce_save_account_details_errors','action_woocommerce_save_account_details_errors', 10, 1 );

// Save - my account
function action_woocommerce_save_account_details( $user_id ) {  
    if( isset($_POST['birthday_field']) && ! empty($_POST['birthday_field']) ) {
        update_user_meta( $user_id, 'birthday_field', sanitize_text_field($_POST['birthday_field']) );
    }
}
add_action( 'woocommerce_save_account_details', 'action_woocommerce_save_account_details', 10, 1 );

// Add field - admin
function add_user_birtday_field( $user ) {
    ?>
        <h3><?php _e('Birthday','woocommerce' ); ?></h3>
        <table class="form-table">
            <tr>
                <th><label for="birthday_field"><?php _e( 'Date of Birth', 'woocommerce' ); ?></label></th>
                <td><input type="date" name="birthday_field" value="<?php echo esc_attr( get_the_author_meta( 'birthday_field', $user->ID )); ?>" class="regular-text" /></td>
            </tr>
        </table>
        <br />
    <?php
}
add_action( 'show_user_profile', 'add_user_birtday_field', 10, 1 );
add_action( 'edit_user_profile', 'add_user_birtday_field', 10, 1 );

// Save field - admin
function save_user_birtday_field( $user_id ) {
    if( ! empty($_POST['birthday_field']) ) {
        update_user_meta( $user_id, 'birthday_field', sanitize_text_field( $_POST['birthday_field'] ) );
    }
}
add_action( 'personal_options_update', 'save_user_birtday_field', 10, 1 );
add_action( 'edit_user_profile_update', 'save_user_birtday_field', 10, 1 );