You should find a statement that tires' circumference must be within 1/4 inch (or is it 1/2). If new tire has more than this you may fry your AWD system.
- Manual magic value has probably some safety margin built in and you may be willing to push it; it may be safer to push it on axle with open differential (if you have LSD).
- Shave new tire so its circumference is within SOA spec
- Buy 4 new tires