A super-powerful agent who is desperate to prove itself to her! That's the perfect opportunity! Unless she messes up the requested 'proof' she has can become a demi-god, just below the Omega (until Omega cracks it with her).

• "If you are Omnipotent please prove it by giving me a pet genie."
• "Genie, I want you to create an FAI that has my CEV."
• "Genie, please do whatever my FAI tells you to."

That should result in an exponentially growing multiverse of universes, with each universe self-replicating on a sub-nano-second time frame while simultaniously expanding in size and neg-entropy, all arranged for maximum Fun. Still not proof of Omnipotence but hey, it'll do.