I don’t know if it counts as a natural remedy, but the carnivore diet helps with my dry cough symptoms that I’ve had ever since getting covid. (And whenever I start in carbs again, the bad coughs come back with a vengeance.)
For brain fog, I do a combination of drinking G Fuel in the mornings and take three tablets of Blue Mind.
G Fuel and Blue Mind because I tried doing straight up caffeine tablets by themselves (it’s just plain caffeine with no vitamins or anything), but it did nothing to help my brain and my performance at work noticeably dropped.