Priority Contract and Anathema

When blood on vampire with Anathema and Priority Contract reduced to zero in combat, it's burned. In this case, can Priority Contract be burned too in order to gain 3 pool?


Anathema
{Requires a} prince or justicar. Choose a ready vampire. If the referendum is successful, put this card on that vampire. If the vampire with this card is reduced to zero blood in combat, he or she is burned, and the Methuselah controlling the opposing minion gains pool equal to the burned vampire's capacity.
Priority Contract

Unique contract. Trifle. Put this card on a minion controlled by your prey and choose a ready Assamite you control. The chosen Assamite can enter combat with this minion as a +1 stealth action. If this minion would leave the ready region, you can burn this card to gain 3 pool.

"If this minion would leave the ready region, you can burn this card to gain 3 pool."

A minion getting burned is certainly leaving the ready region.
Priority contract is checked _before_ the minion leaves the ready region.

So yea, you can burn the contract first, then gain the pool from Anathema