If the code executed is deterministic - then so is the output.

If your output is in any way nondeterministic, then so is the code executed. Fin. No nuance to mathematically be had.

Randomness is nothing new. Various algorithms have always been non-deterministic. Randomness is in most standard libraries.

My problem here is not with what you're doing - but that you're presenting as if you do not understand what you're doing.