I tried a whole bunch of ways to get the piston in and finally got it. I bought a Lisle ring compressor and that was a total waste of money. Packaging said it could get down to 2-1/8", but at that size it was not going into the cylinder. Even worse was the fact that it was designed to push a piston in from the top, which obviously doesn't work with a Lawn-Boy.
Next I tried poking and prodding the piston rings for a good while. This not only didn't work, it got me really irritated.
Then I went to the party store and bought a Fosters. To give it the best chance of working, I downloaded the Fremantle Dockers jock-jam and watched last September's Dockers vs West Coast Eagles game while drinking the Fosters (Dockers won). The Fosters was very nice. I cut up the (now empty) can and made a ring compressor out of it. This not only didn't work, I broke the top ring trying to drive it in. I think this had a lot to do with the tiny, specified ring gap. .007 to .017 means it hardly fits in the cylinder without a layer of Australian Aluminum around it.
What finally worked was getting the piston perfectly straight in the bore, top (second new) ring touching the insert all around, and then spending an hour slowly working a little bit at a time under the insert's edge with a tiny tweaker (.094" wide, .023" thick on edge), then doing the same with the bottom ring. So the Fosters did help, just not the way I expected, heh.