The fact that I disagree with you doesn't mean I don't understand you.
You continue to treat logical computations and physical computations as equivalent, yet we know they are not.
You also presume that all phenomena are driven entirely by particle-level interactions, and while this was a very popular assumption for a long time, it has never been proven and is currently in very serious doubt.
For instance, look at ice on a tree branch causing it to break.
If you use your magic machine to strew that system across the universe, the particles can still interact with one another as before and yet there will no longer be the weight of ice upon a branch, so the branch will not break. The system will run differently.
You want to ignore the physical reality at our level of magnification and simply assume it doesn't matter, and that you can free the particles from their confines and expect the particle interactions to continue running the show as before.
You complain that I'm telling you things which are "obvious" and yet you don't even attempt to account for them.
Worse, you appeal to irrelevancies such as relativistic effects at near light speed, which have nothing to do with what we're talking about. (ETA: Yes, I know the point you were trying to make... it's just that your example fails to actually illustrate that point.)
Bottom line: As far as we know, you need a working brain (or some real equivalent) doing real work in spacetime as a brain, all in one place, to make consciousness happen.
Nothing about relativity or QM changes that.
Your thought experiment is badly formed, I'm afraid.