How to restore system volume image from Windows-7-style recovery image onto a new volume?

Question

I have a Windows-7-style backup of my Windows 10 installation. The Backup contains the following:

C:\Windows\system32>WBADMIN get items -version:11/26/2019-20:51 -backupTarget:"F:"
wbadmin 1.0 - Backup command-line tool
(C) Copyright Microsoft Corporation. All rights reserved.

Troubleshooting information for BMR: http://go.microsoft.com/fwlink/p/?LinkId=225039

EFI System Partition
Volume ID = {8c25c60f-8dad-4093-8d7e-8f824380c070}
Volume 'Recovery', mounted at <not mounted> at the time the backup was created
Volume size = 499.00 MB
Can recover = Full volume

Volume ID = {15c764cf-a55c-4614-be67-74f1040e9adf}
Volume '', mounted at C: at the time the backup was created
Volume size = 211.78 GB
Can recover = Full volume

Application = Registry
Component = Registry (\Registry)

Now I have a new harddisk (rest of computer remains the same) with a somewhat different partition layout than originally - but what I would like to do is to restore the System volume in the backup (and probably also the registry if that's required) onto my new harddisk.

Wbadmin gives me an error however, since the harddisk has changed:

C:\Windows\system32>WBADMIN start recovery -version:11/26/2019-20:51 -itemtype:Volume -items:C: -backupTarget:"F:"
wbadmin 1.0 - Backup command-line tool
(C) Copyright Microsoft Corporation. All rights reserved.

Troubleshooting information for BMR: http://go.microsoft.com/fwlink/p/?LinkId=225039

Retrieving volume information...
ERROR - The original volume that you backed up either no longer exists or has
been recreated as the unique identifier of the volume that changed: C:.
Because of this, you cannot recover this volume to the original location.
Please make sure the volume is mounted and formatted as NTFS/ReFS, or specify an
alternate location for recovery using the -recoveryTarget parameter.

How can I restore this system volume to my new c: (overwriting it)?

Also, can I do this while I'm within windows booted from the target partition?