Laplace's demon requires being able to tell velocity vectors of individual molecules, and tossing a coin predictably takes being able to throw it with equally enormous precision, correcting for the net effect of all collisions with molecules of air along the way, etc.

So in the end of the day posessing such knowledge, or rather having a mind with this much focus, depth and resolution would indeed mean a win of determinism over entropy. How can a cup break irreversibly if we know how to put back all of its shards so that they click in place at atomic scale without gaps and lost pieces?

But our reality is a battlefield between pure will/determinism and pure chance/entropy, and it's depicted vividly in The Matrix as the battle between The Architect and The Oracle. And we seem to be cursed/blessed to be Neos trying to balance that out or escape that Sisyphean task altogether.

Too late to edit: Learned about the Stern-Gerlach apparatus as relating to the uncertainty principle. That's a huge puzzle piece and I'm probably gonna shut up about determinism for a while as I stew on this.