The only thing I did to connect CJ and WC is add Rest API for Read/Write access. Nothing else.
I sent message to CJ and they pointed me to their API, but looking at the documentation, it is not very clear in which or where to modify Rest API files on server to pass the complete status at the time tracking is added.
I am insanely familiar with WP/Woocommerce, but have never needed to modify Rest API files before, so I am at a loss, regarding which file and the endpoints related to this.