OK, I did it

The fungus is gone with ammonia + peroxide, no trace left on the coatings

I reassembled the lens and shot some photos, it works!
I have not been good enough to clean completely every element, shining a light through the lens many particles are visible. I'll practice in some manner then I'll clean it better.
For the moment I enjoy this revived great lens!
I'll ask help again for a couple of minor issues, but for today... She is our family's Golden Retriever

with the AF-S 300. 1/1000 sec, f/4, hand-held.