Hi neighbor!
ESPN does not take ADRs for lunch or dinner...but we've always been able to get a table without too much of a wait. During major sports events lines do form but you have a choice of 2 sides to choose from. The left of the restaurant has tables and people must wait to be seated there. On the right it's more of a bar area, but also has high-top tables and booths and you can seat yourself. Kids are welcome in both sides and our kids love it there.
Here's a picture from our trip last summer - with the Red Sox playing in the background.