Mind
The Mind is used to describe mental activity that exists both objectively in the brain and subjectively in consciousness.
When discussing psychology we sometimes talk about our subjective, emotional experiences and thoughts, which are manifestations of our objective brain activity.
When speaking of subjective experience, the wiki will typically refer to consciousness. When referencing observable neural activity or just to be nondual, it will refer to the brain. And when the distinction is not relevant to the topic at hand then mind will be used.
If you talk about how does the mind work you must consider both the function of the brain and the experience of consciousness, as well as how the two interact and influence each other.