×The thing to avoid is to let two puffs in a row get near the flower. As a byproduct of its scripting, the flower is regenerated as last in the movement order after it has eaten. So when it eats a puff, and there is a second puff immediately next to it, that puff will move before the flower, killing it.

A second thing to avoid is to get the flower stuck on the vent with no extra puffs in the room, because it'll just die on the next turn divisible by 30.

So the winning tactic is to wait until two puffs are created by the vent, and dance around so that they are stashed in the lower part of the room. Then keep dancing until the flower has moved next to the vent. And then let out the stashed puffs, one at a time.