I think not having those instant answers available is a big part of why your mind wanders in that setting.

I have the answers available (I have a phone and good connection), I just am tactical about when to pursue the answer in realtime and when not. If it feels like it's going to open up a wider field of questioning -- or if it feels like I'll learn that this vein is fully mined and goes nowhere -- I'll spend a few minutes searching; otherwise, defer.

I was going to say the same. It's probably so much healthier to make note of questions for later research than to stop right then and there and either a) fall down a Wikipedia rabbit hole or b) have an AI strapped to your face perform an info-dump.