How do I get the exact bounding box of an organic mesh and create a cube from it?

This may be a weird ask, but I'm trying to place a pivot at an exact center point based on Suzanne’s overall bounds. The squares in the screenshot are just guides to visualize it from top and front views.

What I’m trying to represent is a 3D setup where there would be two layers of four boxes, so eight total, and I want the pivot to sit exactly at the center of that full volume. (The middle of the red circle in the image)

I need to create a vertex in the middle of the cyan circle, but I’m not sure what the most accurate way to do that is. This is also exporting elsewhere so that's why I need the vertex there and not the red circle. If I did want to pivot this in the way I want in blender then I would make the origin in the middle of the red circle.

Is there a way to get the exact bounding box of Suzanne? I need it to be mathematically precise. I want to avoid hand guessing it by resizing a cube over it. But once I get that bounding box I assume I will be able to array it to be the 4x4x2 structure and save the vertex where I need.