Hey just so you know, a change to this law was approved just a couple of days ago. I don't think it has passed yet but it is fully expected to. I'm not totally familiar with all of the consequences, and there may be an exception for you, but this excerpt seems relevant to you:
"The decree-law approved today states that Italian descendants born abroad will automatically be citizens for only two generations: only those with at least one parent or grandparent born in Italy will be citizens from birth."
I'm really sorry