Acronis Backup Cloud: backup of a large number of SQL databases fails with "VSS writer 'SqlServerWriter' has failed to process the snapshot"

You have an SQL server with a vast number of SQL databases (500+) in one SQL instance.

Backup of this server fails with:

Error code: 50281
Module: 16
LineInfo: 0x3FEC04E376B89DAF
Fields: {"$module":"ArsDbBackupProvider_vsa64_10170"}
Message: VSS writer 'SqlServerWriter' with class ID 'A65FAA63-5EA8-4EBC-9DBD-A0C4DB26912A' has failed to process the snapshot. To troubleshoot VSS issues, download and run Acronis VSS Doctor available at https://www.acronis.com/en-us/personal/vss-diagnostic-free-tool/