As many times as I have been there, it never occurred to me to find out if the place is open 24 hours.
Remember, the weather will be such (projected low 64F) that it would make small difference sitting inside or out.
Unfortunately, for the life of me I cannot visualize where the benches and chairs are out there , but there must be some, probably on the island where the rental car and hotel shuttles stop.
Have a good time at the game. It is a really great experience.