Manual Approval from Salesforce

[FASNYChris]

I'm looking to automate the manual approval process via the Zoom Salesforce Integration feature, but am having issues.  I understand registrants can be manually approved by opeing the webinar record in Salesforce, selecting the registrants in the "Pending For Approval" tab, and hitting the approve button.  The registration records in Salesforce have a status field indicating "Pending For Approval", however, changing that field to "Approved" does not sync back to Zoom and approve that registrant.  I'd love for this to be the case, because I can easily create automation for when a zoom registration record is created in Salesforce, look up to see if that account is a member, and if so, change that status to Approved.  Has anyone run into this, or have any suggestions on how to accomplish this?