With the AWD, if you have one tire that's more than 3/32nds different in circumference, it can cause the viscous coupler in the transfer case to break. These are about $300 for just the part.
You might be able to get away with it for a very short distance, but is it worth the risk? Probably not. Your best bet in case of a flat is to get a tow to the tire shop and get 4 brand new tires. If your spare was the same exact tire as the other 4, and included in your tire rotation, then one tire going bad isn't a problem. With any AWD/4WD vehicle, the spare should be the exact same tire and included in every rotation. Otherwise, it's pretty much useless.
This is the downside to any AWD or 4WD vehicle. However, if your tires were new, and you had one go bad, you don't necessarily need 4 brand new tires. If you order another one of the same manufacturer, model, and size, there are shops that will do what is called tire shaving, where they will take your new tire to the exact size of the other three to prevent damage to your transfer case. Tire Rack does this, and you may have some other place near you that does as well. The downside to tire shaving is that it voids treadlife warranties.