Welcome to our forum. You have asked a difficult question. We have posts where there have been issues when adding a puppy to the mix. Usually, it's the poor dog that gets attacked because puppies tend to be overly playful. Then, you can see pictures online of dogs and bengals sleeping together. It depends on the personality of the dog and the personalities of your cats. It's always a gamble. You need to go into this thinking the worst and hoping for the best. Only you know the personality of your cats. Cats can show jealousy as can pups. Each pet needs to have their own space and three will require some space.
The problem will not be with a dog accepting your cats. It will the cats accepting the dog, who has now entered their private territory and may appear to be a threat. You do not want behavioral issues to start in the cats (spraying, not using the litter box, getting stressed out). If you have any friends with a dog, why not have them bring the dog over and see how your cats react. Many breeders have dogs and socialize their kittens to be around dogs. My bengal does not like dogs and we met several on our daily walks. Raiden has actually attacked some that got a little too close for comfort and his previous owner stated he did not like their dog.
The thing is .... you could have three loving pets who get along. They may not in the beginning, but they would probably learn to co-exist. You would have to use time and patience as your friend.
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