Plenty of ways to do this maybe.
What is easy I can't say. On really old stuff I use G4U to move an image over network. Old machines may take a while.
You could boot to almost any distro and use nc (netcat) or other means to dd or copy over an image.
You could use a clone computer to copy to blank drives. That could also work as usb to ide adapter in subject box. (don't mix power supplies)
There are ton's of pxe ways to get either some clone OS or that OS on it.
Once in a while you can use a netboot iso cd and point it to some shared or local resource. I used to install opensuse from usb on old systems that wouldn't boot to a usb by booting to the netboot iso.
Before you get too far.
"
512 MB of RAM
Processor based on Intel x86 architecture
At least 3.8 GB of available disk space"
https://peppermintos.com/guide/downloading/