There are several places to eat there. You have the main restaurant, where a cover up is probably a little under-dressed. However, you can eat at your chair if you like OR there are several wooden kind of tables off to the side of the restaurant where I personally would feel comfortable dining with a cover up on. I personally would not want to eat a meal there at my chair, because I feel the food is too good to not give the meal more attention. Of course you don't have to have an elaborate meal there, as they have pizza and burgers, etc. So it depends on what you want. If you want to go for the day, you can certainly do that, and I would dine at one of the wooden tables.

Or you can go for dinner, but I would not necessarily count on eating 'late afternoon'. They do close the kitchen for a couple of hours around 4 to 5, something like that, and they are not open in the evening every night, I don't think. You should check with them on that.