I used to have a target panic. But always take a big deep breath before I raise a gun or bow at the range. And I just burn a hole in the target and breath. I'm not by any means a good shooter but I hit what I'm aiming at alot of the time. It did come back bad 3 years ago for a year with my bow but it was a mixture of no faith in equipment and over thinking.
For the main question is i stare at the target where I want to hit,breath,draw with my eyes always on the target,anchor,breath,release. I can get my shot cycle off within 5-9 seconds would be my guess.