Nothing. I'd be too scared and emotionally wrecked to be hungry, I think.
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"The Daemon lied with every breath. It could not help itself but to deceive and dismay, to riddle and ruin. The more we conversed, the closer I drew to one singularly ineluctable fact: I would gain no wisdom here."
They obviously can't nor would they provide you that I'd eat little. It's not like I'm going to be able to enjoy it much longer than the duration of the meal. I'd eat light. I'd much rather be weak and hungry for when it happens than be full and energetic from the satisfying meal.