Welcome to permies
Other food that grows in the shade:
mushrooms!
And a variety of animals, particularly
rabbits (and
chickens, but rabbits are more HOA-friendly). Growing your own rabbit meat, especially if it's grazed on your own property, is much more caloric- and nutrient-dense food than pretty much anything else you could grow yourself. Or if you can get away with a couple
chickens, the eggs they lay are a daily delight, and don't require weeding, digging, fertilizing...you get the idea. Animals grow in the shade where other foods do not.
It's also possible to trim trees to let in more light; maybe this is an option for you?