I can’t help but think this is a very bad idea, but then I’ve never tried it. Maybe the dog won’t fall overboard.
The only animal I ever had on my boat was a monarch butterfly that I plucked from the water before something ate him; and he just flew away once his wings dried off.
Yeah, I would not be comfortable with a dog in this small boat. I wouldn’t want any animal on a boat, really. If it were yacht size and had the proper set up, maybe.