Super glue (the thin, runny kind you can get at hobby shops) or urethane glue.
Be aware that super glue can ooze out so needs to be applied with care, and that urethane (gorilla) glue WILL ooze out. As long as the urethane glue is still "wet" you can remove the ooze with a wet rag.
If it were mine, I'd go for the super glue (cyanoacrylate) glue. I've done several WWII rifle handguard cracks with it and it works fast and permanently. Wedge the crack open just a bit to allow the runny glue access to the crack, then clamp shut (finger clamping will work) for a minute or so. Done. Permanent. Strong.
Whatever glue you use, setup and practice the clamping system before gluing. You have no time to reset with super glue, and limited time with urethane glue. You want it set so that your clamp gets the wood mated perfectly the first time, or risk a repair line.