We’re definitely a subset of it! And you could argue that any machinations therein are a part of nature, but then again I also think that if you have a computer running a simulation, while the computer is the substrate the simulation is run on, it’s also a bit separate. One way to think about it is that there isn’t really a “place” in the computer you can look and find the simulation. So too is our society. Nature (us) is its substrate, but you can’t really point to anywhere in nature with any kind of precision and say “ah, there is the society”.