Infernal Servitor and Call the Great Beast timing

Ankha wrote:

I control only 1 Infernal Servitor, Nergal with a Call the Great Beast on it (with 10 counters).

Nergal puts the 11th counter on the Call the Great Beast. Does the Infernal Servitor 1/ burn because there's a moment where I control no infernal vampire at all 2/ not burn because the Call the Great Beast effect is resolved instantaneously so when Nergal is burned, the Great Beast is there?

Thanks.

2- Infernal Servitor doesn't burn.