The get-recording-details request will return temporaryDirectDownloadLinks which contains direct URLs to the recorded files.
If you have the recording ID and use this API, you will get a temporary download link, which will download the recording directly. Example response seen below.
temporaryDirectDownloadLinks": {
"recordingDownloadLink": "direct_download_link_here",
"audioDownloadLink": "direct_download_link_here",
"expiration": "2021-05-11T14:25:22Z"
},