We Hope This is Andy
There's nothing wrong with playing along to a funny joke like this. This is the ideal situation for someone who sends a text to the wrong number. We salute you, fun wordplay man.
But... That's Not... That's Not a Cat...
Listen, this screenshot pretty much already maxed out the jokes that can be said about this whole scenario. However, that does not detract from the fact that this dog could absolutely be mistaken for a cat at any given moment. You should put a big sign on your dog's collar that says "DOG" in big letters so nobody gets confused.