Infernal Servitor and Call the Great Beast timing

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.

Name: Infernal Servitor
Cardtype: Ally
Cost: 1 pool
Discipline: Daimoinon
Unique demon with 2 life. 1 strength, 3 bleed. Requires an infernal vampire.
[dai] Move the servitor to the ready region when recruited. Remove her from the game if she successfully performs an action (after resolution) or if you control no infernal vampires.
[DAI] As above, and the servitor may play cards requiring Daimoinon [dai] or Obfuscate [obf] as a vampire.

Name: Call the Great Beast
[BL:R1, KMW:PB]
Cardtype: Action
Clan: Baali
Cost: 1 blood
+1 stealth action.
Put this card on the acting Baali and put X ritual counters on it, where X is the capacity of this Baali. This Baali may put a ritual counter on this card as a +1 stealth action. When this card has more than 10 ritual counters, burn this Baali and choose three Disciplines. This card becomes a unique clanless independent infernal vampire with 9 capacity, 4 strength and 3 bleed. The Great Beast has the chosen three Disciplines at superior. Move 9 blood to him from the blood bank. The Great Beast can enter combat with any ready minion controlled by another Methuselah as a action and can prevent 1 damage each combat.