Nah. The only thing we can establish precisely at the lowest levels is probability. We can and do engineer systems to maximize probabilities of desired outcomes and minimize probabilities of undesirable ones.
Frankly I don’t understand how software engineers (not coders mind you) can have issues with non deterministic tools while browsing the web on a network which can stop working anytime for any reason.
Because the failure modes are deterministic. An API can be down, which you can easily plan for, but if it's up and returning a 200, you can reasonably expect it to return what it's supposed to.
Quantum mechanics is non-deterministic, yet you can predict the motion of objects with exquisite precision.
All these "non-deterministic boxes" will give the same answer to the question "What is the capital of France"