I've said it before, and I'll say it again - the reanimates are like an organized army, nay - a super-organism each expendable, yet vital to the whole. Your Type One is the worker ant, Alphas are generals or commandos. Twos and Betas function as shock troopers or fast attack vehicles from - quick strikes from unknown directions.
Type Threes are tanks. I have seen a sniper tag one in the head with a fifty-caliber anti-material rifle, and it didn't even stumble. Less former human, more Rabbi Lowe's unstoppable golem, or that robot from the movie that had its sixtieth anniversary release a bit before The Event. It probably even has metal bones - so far as anyone knows, its what happens when a person with a lot of cybernetics reincarnates.
Its almost acceptable, to have a creature that can punch through concrete barriers, lift a small car, or walk through an artillery barrage like a summer rain shower. With all that has happened, its almost normal. What isn't, is what they look like. These aren't body builders pretending to be machines, they're normal people who were frail enough to need robotic parts surgically implanted. A little balding barber with some artificial legs, a pretty young prom goer that got in a traffic accident after her big dance, a convenience store clerk shot in the lung during a robbery - they're all as likely to be a Type Three as any hulking former marine.
You'll never know until they rip a tow truck in half.
A Type Three reanimate has 12 points of animus, and an SDI of 6. While damage will slow them down, even the average rifle (DR 4) is going to be hard pressed to leave much of a mark.
It might have average intelligence, awareness, and understanding compared to a human (4 each in Wits, Tech, and Quick) but there is no denying it is above human in strength (an 8!) and almost any use of unbridled force is considered skilled. (So for example, an attempt to smash a vault door is 8 dice, and they succeed of 4-6) Perhaps more distressing is that they might have other cybernetic componets that allow other stat tests to be considered skilled as well.