Got Wren, then the Canceller (mashing text), Hinas out, got Kuran, cancelled to equip and reorder party, went back in, got Motavia, flew to Motavia, flew back to Zelan, still got Motavia.
I didn't know about the Algo Ring glitch before and I never thought of checking the room with the Canceller to see if the flag would reset.
Though, from a speedrun standpoint, I really wish there were more glitches in this game like in PStar2. This game is a brutal speedrun.