I do not believe the dogs are allowed IN the lake. There's signage posted all around that give a list of rules. One I can think of is close to the restroom/parking lot area. Hope this is helpful.
I've seen a couple dogs swimming but I'm not sure if they allow it. Few people fish there on a daily basis so that might be the issue. Possibly if you find a spot where other people aren't fishing.
Thanks! Your answer is awaiting moderation.