You're just doing sophistry here. There are patterns in the brain that form which allow it to model the world and make predictions about it. If we can understand the nature of these patterns and implement them in a different substrate, then we'd be able to do similar type of inference on a computer. That's what algorithms are.
Forming patterns when processing information doesn't mean an algorithm exists. The patterns are emergent properties of underlying processes which can't be described in a computational sense the way you want.
Otherwise, you'd have to argue all consciousness is basically just an algorithmic function. Are you prepared to go all the way with that?
The entire context for this discussion is that these patterns are being implemented in artificial neural networks. Also, a pattern by its very nature implies that it can, in fact, be expressed as an algorithm. There is zero basis for the suggestion that emergent properties of underlying processes can't be described in a computational sense.
Also, not sure how anybody could reasonably argue that consciousness could not be described by an algorithmic function. It sounds like you subscribe to idea of dualism which requires belief in supernatural processes outside the material realm. Are you prepared to go all the way with that?