In my experiences mowing the turf taller, the grass will outgrow the discoloration however, the disease is still there...........just covered up. Bermuda grass is the same in toleration.
We have treated lawns with chlorthalonil and propiconazole. It is the seasons that bring this stuff on, so prevention is needed. Chlorothalonil is a preventative and propiconazole is a preventative and curative............according to my labels.
Baking Soda is a natural curative concoction and you will need to use a spreading and sticking agent with it.