"AUG AN ITEM WITH NEW INFLUENCED MOD" Questions?!?!?!?!

So i Just got this "aug an item with new influenced mod" lvl 83 and I wonder, since it doesnt say any information about it, except :

Tier 4
Primal Blisterfruit
Reveals a random crafting effect for Influenced items when Harvested

Remove a non-Influence modifier from an item and add a new Influence modifier
Augment an item with a new Influence modifier < -------------
Remove a random Influence modifier from an item
Randomise the numeric values of the random Influence modifiers on a Magic or Rare item
Remove a random Influence modifier from an item and add a new Influence modifier
Reforge a Rare item with new random modifiers, including an Influence modifier. Influence modifiers are more common
Augment an item with a new Influence modifier with Lucky values

it doesnt new it doesnt work with an influenced item, it doesnt say anything about if its a mod from the current influence, does this mean, I can double or tripple influence an item? Or will it just give me an influenced mod from the current influence? Can I use it on an uninfluence item to get a new influence? Because if thats possible, then I should be abble to double or even tripple influence an item if Im lucky?