Did not find a way to do this :(
So, I created a new instance, mounted the newly created EBS volume, bound it to the instance, and passed the data through ssh.
Then, in order to be able to load the volume, I still need to create a snapshot of it, and then create an AMI that uses the snapshot, and as a result, I get another EBS volume created from the snapshot and the current volume of the root instance.
Now, if I want to minimize costs, I can delete the created snapshot and the original EBS volume.
NOTE. If the only copy of the EBS volume is the root volume of the instance, it can be deleted at the end of the instance. This parameter can be changed using the command-line tools - or the instance can be simply “stopped” instead of “completed”, and then a snapshot can be taken from the EBS volume. After a snapshot, the instance, of course, can be interrupted.
Nakedible
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