If it was a hole in the toilet, I would think the water leakage would not be just every few days.
1. Talk everybody into sitting, rather than standing, at least until this is resolved.
2. Close the lid between uses in case the dog is a sloppy drinker.
Another thing to consider is to put a water alarm where the liquid appears. If there is a miss by a user, or the water is flowing from the shower area, the alarm sounds off.
Another test is to lay Kleenex tissues around the toilet base. See which edge gets wet.