Since you asked, I define reasoning as cambridge does:

Reasoning "the process of thinking about something in order to make a decision"

Thinking: "the activity of using your mind to consider something"

Mind: "the part of a person that makes it possible for him or her to think, feel emotions, and understand things"

I conclude that "An algorithm that searches for the highest probability answer" is not described by "reasoning"

I also think that the definition of Mind of Cambridge is incomplete and lacks the creativity part along with cognition and emotions. But it's a vastly different topic.