Driving 100 miles with one new tire?

So one of my tries almost exploded, so I needed to get it changed. I can get one tire changed today, but they're saying they can change the other three tomorrow. Ill have to drive ~50 miles home then another 50 back tomorrow. It's in a 2013 Subaru legacy and the other three tires have a fair amount of wear on them. Is far enough to cause damage to the AWD system?

I'm not a car guy so I'm nervous about making dumb decisions