He tends to eat the same food over and over again. Even when he prefers the taste of something else, Tyson will typically keep to that habit, as a way of keeping some control - however small - over his life. He needs that routine and structure.
When Tyson doesn’t like the taste of something, he will still eat it. He has such apathy towards eating things he likes that disliking it really doesn’t change much. It’s a chore, nothing more, to Tyson.
That said, raspberries are a sure fire way to get him to eat something, and Jasmine takes advantages of that whenever she can. He may not eat anything else that goes into his care package, but she can be certain that he’ll eat the raspberry and white chocolate cookies she makes.
Sandwiches are also a good way to distract Tyson into eating, something he can hold in one hand and continue working with the other, passively eating without realising he’s doing so. Once the timing is figured out, one almost finished sub sandwich can easily be swapped out for a fresh one without Tyson registering the change.
His favourite food overall is rice. Plain rice, pilau rice, brown rice, rice pudding. Doesn’t matter, just rice.
His apathy towards food and the Moriarty Mirrors lack of care for their own health has created an odd balance. Tyson has to pull himself out of long work sessions and order food to make sure that the Moriarty Mirrors eat. He makes sure to gets food that’s healthy and tastes good, because it’s not only him eating.
In turn, the Moriarty Mirrors give Tyson plates of apple slices to keep his blood sugars going during long jobs - to keep him focused and working properly, to keep him entertain and providing the ideas they want from him - which means they’ll end up getting food for themselves in the process.