I am unable to download a recording
I know this is an old question, but I encountered and solved a similar issue recently. Reporting back here in case others bump into the same problem.
I got the failed-forbidden alert in chrome downloads the first time I tried to download video files from a zoom recording because it triggers 8 downloads at once and that trips a security alert in chrome. Something on zoom's site hung and I was unable to click the dialog popup that asked for permission to allow this on the site, the downloads timed out, and when I retried I hit the same issue as this poster, all subsequent attempts failed.
To fix:
Go to Chrome Settings > Privacy & Security > Site Settings
If the issue you're encountering matches what I'm describing, the zoom.us site your organization uses will show: Blocked Multiple Downloads
Click the line item for that site
Scroll to find Multiple Downloads and set to Allowed
I believe you'll need to restart Chrome, but downloading the recording files should work following this fix
Enter your E-mail address. We'll send you an e-mail with instructions to reset your password.