"Error Saving BaseSystem Image
An error occured while attempting to save the BaseSystem image. Ensure that there is at least 10GB
of free space on your Startup Disk, ten try again."
Are you trying to install on a supported or unsupported Mac and are you using the newest version of the Catalina patcher and if you are on a unsupported to Mac you can post questions in the macOS Catalina for unsupported Mac forum ttps://forums.macrumors.com/threads/macos-10-15-catalina-on-unsupported-macs.2183772/
I had similar problem and I fixed it with Erasing the External Hard drive with Selecting Master Boot Record in the list of the schemes when erasing the drive. Hope this helps.