I doubt that the rings have broken and deposited themselves on your bore. if the engine is out of the car i would hone and replace rings as a minimum. If not as a minimum I would hone one cylider at a time and reassemble. You may not have done any permanent damage.

If it were me i would ask my favorite machinist to come look at it and pronounce what is needed.

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[SIGPIC] Diesel loving autocrossing grandpa Architect. 08 Dodge 3/4 ton with Cummins & six speed; I have had about 35 benzes. I have a 39 Studebaker Coupe Express pickup in which I have had installed a 617 turbo and a five speed manual.[SIGPIC]

..I also have a 427 Cobra replica with an aluminum chassis.