You should look very close at the engine oil as well. They probably have fresh oil in it to sell. Even then you might be able to see a slight white slime in the oil or filler cap if you have a head gasket problem. I would be cautious on this one. It might be fine. But "might be" won't pay for a potential repair.
If it is just a head gasket it could be a simple fix. But I have had cracked heads on other equipment that wasn't. And the fix can add up fast. Good luck to you. And please give us an update.
Thanks for those reminders. I will do a more careful look over.