Hi, That sure does look and sound like condensation. It’s far more common with a cold start, which you had. By now, the tank has heated up and even when you use water and the tank reheats, you should be getting little or no condensation as it’s starting out much warmer. If it were a leak, you would see water on the floor. You can get this after a big load, like tub filling, but otherwise condensation like this is rare and not worrisome.
Yours, Larry