I am more of a drywall/framing guy, never got into too much electrical, so this might be a stupid question. The house is wired in 14/2. I have to wire a fan with light to the ceiling. The way I think about it in my head, I need to run two 14/2 wires to get it accomplished. However, I am thinking I may be able to use 14/3, but then I don't know if I need the extra neutral wire or not. I have attached a diagram of what I am trying to do. Should I just go ahead and wire it up like this, or would it be better to use a 14/3?
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TIA

TIA