Every grammar book says that the verb jeść governs the accusative case
Of course, sorry, my brain wasn't woring properly.
Unfortunately there is a large group of nouns that are inanimate by the meaning but decline like animate nouns.
So far I decline all inanimate nouns as acc=nom, and all animate acc=gen. When I get energy to learn which inanimate decline as acc=gen, maybe I'll do it. But people haven't been laughing at me yet.