Doing research prior to launch the dimensions users have found online were 13.1 inches for the width. My gaming shelf is full of square units of 13 inches. 13 inches. Off by .1 inches.
However, after bringing my console home, turns out it's a little smaller and actually will fit into the shelf! I'd say the width is about 12.9 inches or so.
I had originally planned to put it in another spot because it wouldn't fit but now that it does fit, is it safe to put in there considering the air vents? There is basically no space on the sides due to the walls of the shelf but there is plenty of top space and back space.
Well, it's been almost 12 hours now since I made this topic and my console has been on for the whole time. Mind you, I wasn't playing for 12 hours, there were a few breaks here and there. The console is warm, and that is to be expected but it is not hot to the point where I would worry.
As far as the side vents go, the left wall of the shelf is cool, meaning that the vent on the left side most likely brings air in. The right wall is warm but that's because the vent up top is positioned on the right side of the console. Placing my hand at the bottom part of the right wall in either the front or back of the console, it's just as cool as the other wall.
I'm going to keep testing this out, this set-up is by no means permanent but if the console is fine in this space, it would be ideal to keep it here.