Reply by 000

Your wayyy over thinking this.
Cut them to 2×2 before putting together.
Apply the glue with a roller, Clamp the things together, there is going to be no mass that collects in the middle.
Don’t worry about what speed the glue in the middle dries at, just clamp them and leave them over night.
The only other thing I would do would be to add some screws to the middle area before clamping. The screws will clamp the center and keep the tops from sliding around.
I would clamp 4 or 5 at a time…..

(ON A FLAT SURFACE) lol

That’s all I have to say, I’m out!
Good Luck