Everytime there's a paradoxical moment: there's one version of him where he lost. One version of him where Joy died before he could get the code, then that version of him found the code in order to save her and created the paradoxical loop, so the new one after her being saved still has to find the code even though the one who lost Joy found it, just as he said 'complete the loop' so that they're not eternally stuck in a loop.
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