Welcome, @project !
At this time, there is no update available. Currently, the best approach would be is use the download URL to download the recording and then upload it to your site as shared by Michael.
To stay up to day on all of the latest updates, releases, and bug fixes you checked the Zoom SDK changelog to see if any recent changes.
https://marketplace.zoom.us/docs/guides/stay-up-to-date/changelog/