Dallas Gate 4 vs Gate 2

We have Gate 4 Entrance J for our tickets. But where we are staying the Gate 2 entrance is soooo much closer to get in. Do we have to walk all the way around the stadium to Gate 2?? The fan activation we want to do is on the Gate 2 side and is by our hotel.

I understand we have to ultimately enter at Gate J for our seats bc of the weird club situation.

But I was really hoping to clear security at Gate 2 side.