Fixing the tire turned out to bit a bit more trouble than expected. Not only did the tube have a hole in it, but the tire itself was worn down to the cords in some places. Good thing I have a new set on order. Meanwhile, I had a tire from the set that came with the bike originally that still had some tread left, and I also had a spare tube, so everything got replaced. It took a while to get it right. The tube didn't sit on the wheel quite right, and the tire rim wound up crimping it in a couple of places, which led to some deflating and reinflating until I got the tube safely and completely inside the tire.
Good thing, too, as yesterday was a nicer day for a ride than Saturday. Still a little chilly (mid-50's), but sunny.