Smoke or fog will reveal a beam, but you'd need a hell of a lot more than three cigarettes to do it, unless RDA likes sticking smoke flares in his mouth.
It would likely show up as an intermittent flickering for a damage-grade beam. The smoke would reveal the beam, the particles would almost instantly be incinerated, so after they flare out the beam would no longer be visible until new particles moved into the area or the beam itself moved. The amount of visible beam would depend on how much smoke was in the room, plus air and beam movement.
Given that a laser can light up a path through a cloud instantaneously, I wonder how long until someone experiments on their utility in igniting FAEs, intentionally or otherwise.