Incinerate and Minimum VS Dice Buffs

[Artisan]

The rules state that dice pools cannot be reduced to 0, simple enough. But let's say someone plays a min max mini such as Mysterio/Carnage and also plays Strange/Cable (or any other source that adds dice to the defence pool). Does the game look at the stats and say "nothing to see here" and you get your min of 1 plus ALL of the additional dice or does the game look and say "oh look what I just found" and steals one of the addtional dice because of incenerate?

[Negoldar]

After creating the initial dice pool, add then subtract dice from the pool. If the result is less than 1, the defender gets 1 defense die.