automatically inserted woocommerce product still needs update?

In WordPress, I have a function which allows me to automatically add a woocommerce product by adding a new post of a custom post type called ‘daily_cartoon’.

This the code of the function:

function convert_daily_cartoon_into_product($post_id){

  if( ( $_POST['post_status'] == 'publish' ) && ( $_POST['original_post_status'] != 'publish' ) ) {

    // Create post object
    $post = array(
      'post_title' => $_POST['post_title'],
      'post_type' => 'product',
      'post_status' => 'publish',
      'tax_input' => array( 'product_cat' => 14 )
    );

    // Insert the post into the database
    $new_print = wp_insert_post( $post );

    update_post_meta( $new_print, '_thumbnail_id', get_post_thumbnail_id( $post_id ) );
    update_post_meta( $new_print, '_regular_price', 5 );
    update_post_meta( $new_print, '_price', 5 );
  }

}

 add_action('publish_daily_cartoon', 'convert_daily_cartoon_into_product');

The new product shows up nicely in the admin area, with all the data there – i.e. price, category, published, etc.

But for some reason it doesn’t show up on the website shop page until I open the new product to edit and click update.

Anybody?