This presents a hurdle: The Mac App Store only shows you the current version compatible with your machine. You cannot simply browse a list of previous releases within the store interface.
Modern Configurator 2 requires constant communication with Apple’s servers (for identity, profiles, and MDM tokens). Older versions (specifically 1.x) were entirely self-contained. For a secure, offline computer lab that will never touch the internet again, the old version is the only version that works without throwing "Authentication Error" pop-ups.
However, the old versions still exist in the ether. Here is how to find them.
Note: This works for version 2.x, but Apple has largely removed 1.x from this list.