I'd agree you're likely fine. I have a 60ah that is allegedly at 73% of its original capacity and the realistic range is 60 miles with "mild" climate control usage.
So, even with the same wear on the battery as my car, you'd be close to making it. Assuming your 120 has better capacity (which it should since it's much younger), that gives you a pretty good buffer for bad weather or battery degradation.
If it's possible, ask the seller if you can drive your daily route to get a feel for what kind of margin you're getting into.