Does anyone know if I am able to sit in the cafe seating area late night? I'm planning on a possibly overnight study session and just want to be prepared

No reason you shouldn't be able to. The pub will be closed so you won't be in anyone's way

The pub will be closed, but the seat area outside the pub should be open.

I concur with everyone.

I think the seating area is open as long as the Wegmans is. As noted above the cafe does close for the night but I doubt they'll kick you out of the seating area.