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.
A: Doing it with B.
B: Using C to do it.
C: The part that does B
Without defining, "Your", "Consider", "person", "thinking", "feel", and "understand" it could be anything.
There's more than enough leeway in those undefineds to subjectively choose whatever you want.
I recall reading about a theory of neurology where many thoughts (neural circuits) fired simultaneously and then one would "win" and the others got suppressed. The closest thing I can find right now is Global Workspace Theory.