Random Realignment after nesting

Hello, I nested some closed curves with open Nest. Now they are sorted by size it seems. In the next step I want them sorted randomly. And unfortunately I´m not able to achieve it. I read about some “Wordle” component but I´m convinced that there is a faster way to just swap some random chosen rectangles for example.
Any help would be a blessing.

Here you can see in green the current state and in black what I want to achieve

GH:
Random Alignment.gh (9.3 KB)

one idea might be to rotate 180° a small/big set of contiguous shapes, using their average centroid as rotation center