Riverdale Ring of...

Note, in the epic battle against two OP opponents, with the hero wearing the Ring of Lies and the villain wearing the Ring of Truth, these versions of the objects of power were damaged. Now the Ringwearers don't have to remember the previous reality. If they prefer not to.

Which AU of the Archieverse does one or both of the rings land in after the decisive battle?
Which AU of the Archieverse does one or both of the rings land in after the decisive battle?