Indian deer caught in Sialkot, handed over to police, disappears, police claimed it escaped

[Maarkhoor]

How do you halal an animal which has been shot, by say a bullet or arrow? Do you quickly slit its throat (even if its already dead) while saying a prayer before the blood congeals and stops flowing?

Just trivia I wanted to know. No special reason.

Say prayer (Takbeer) before shooting down the animal in case you doubt that animal would be dead before you reach to Zibaa / Halal it.