Did you have anything in particular thoughts in mind, like them having met prior to reaching New Gate City? It would make sense if Rin cut through someplace where the Zaibatsu has fewer eyes on her way, so maybe they coincidentally wound up taking the same way out of Oz, at the same time? (Though, I guess that would depend on how long Liir has actually been in the area; I've been thinking Rin has had at least a few months to establish herself in-setting.)
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Did you have anything in particular thoughts in mind, like them having met prior to reaching New Gate City? It would make sense if Rin cut through someplace where the Zaibatsu has fewer eyes on her way, so maybe they coincidentally wound up taking the same way out of Oz, at the same time? (Though, I guess that would depend on how long Liir has actually been in the area; I've been thinking Rin has had at least a few months to establish herself in-setting.)