Wrong player name shown in game logs when determining game is a draw due to infinite loop

I just ended a game by putting Pariah and Spiteful Shadows on a Darksteel Myr. When my opponents were confirming or denying that it was an infinite loop (one of my opponents mistakenly clicked that it wasn't and we had to wait through another 30-40 triggers) the game log always used my name for all three players' reports of whether or not the game was over. I was not active player, but they were my triggers causing the potential infinite loop. It's not a big deal but just a minor annoyance.

Reproduce the infinite-loop draw confirmation with Pariah and Spiteful Shadows on a Darksteel Myr, then trace how the game log records each player's confirmation or denial. Done means the log shows the correct name for each of the three players, including when the active player is not the player whose triggers caused the potential loop.

Written by the indexing model from the issue text.