Logically, I would say that the attack occurs right after the enemy becomes adjacent. Yet I found this in the Rules Book which confused me a bit: "Timing: A character makes an attack of opportunity in response to an enemy’s movement. The attack takes place when the enemy is about to leave the adjacent square, but before it actually does. Pause the movement and make the attack; if the enemy is not defeated, it continues moving."
Based on that and the "pause the movement" clause, I would say you make the AoO right when Geonosian would declare they are moving adjacent to the character with Jedi Reflexes. Yet the confusing thing is that if that were true, the character would not technically be adjacent so you couldn't attack with Melee Attack. Unless it's another rules loophole, or it goes against the grain of what is listed in the rules book. So I am a bit unsure of how to truthfully answer the question.
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