Possible to adjust naming convention for files backed-up to Cloud Storage?

Possible to adjust naming convention for files backed-up to Cloud Storage?

Is there a setting to append (or prepend) parameters other than the date to a document that gets backed up to a Cloud Storage Provider (using the in-built integration)? I'm specifically looking to append the signer's name (or a specific signer's name if there are multiple) to each document in the envelop.

Thank you!