Hyperventilating patient oxygen level

You mentioned that we need to increase the patient oxygen level because she is hyperventilating. I need some clarification if you can because normally we breathe in oxygen and breathe out carbon dioxide, however, if we are breathing that fast, that means we are breathing out more carbon dioxide than usual which leads to a drop in the carbon (iv) oxide levels in the bloodstream. So my question is aren’t we supposed to limit the amount of oxygen we are taking in?