Go to animations, select play animation for doodads in region, play the hide animation for doodads of type "your doodad" in "your region"
You can reveal the fire again by playing its show animation
You could also make it into a destructible or unit to manipulate it that way. That is usually a good way to deal with cinematic effects since you can move them, remove them, change their height, change their color, change their size, etc.