Hal heads towards Odym with the other Green Lanterns he's recruited for this mission -- and with Carol as well. Each of these people coming along is a trusted friend, and he knows they won't tell the Guardians what they're doing.
This is the world that Hugh wanted to bring Hal. He's showing up now. Maybe not with a blue ring, maybe not on quite the same schedule, but he's showing up.
Time to get some answers from Ganthet.
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This scene takes place only a few days after
"Sins of the Star Sapphire."