There is 8GB limit on file size on SiteGround.
Meaning that if your backup file reaches this limit, you will see the Out of disk space message because the plugin cannot write any additional contents to the backup.
We had a few users who reported that this limit was actually lower (2GB and 4GB). They were able to get the full 8GB limit after contacting SiteGround support.
Alternatively, you could export your site in chunks by using advanced options and divide the backups into – themes, plugins, media files, and database.
Make sure to import the database last.
Our commercial version includes a more sophisticated exclusion picker that might be useful to you. For more information on this, please reach over to our support, as commercial products are not supported on these forums: https://servmask.com/contact-support