257WbyMag said:
Proper chlorination should take care of any bacteria that the dog could add to the mix.
That is definitely not 100% correct.
My dog has the unique talent to do #2 while she swims

and did it a couple of years ago.
I posted on here and was told that chlorine will not kill all of the dangers of dog poop. Anyone interested in specifics can check my previous posts and read about it.
I was fortunate and there were no issues but apparently it can be fairly dangerous in a worst case scenario.