After episode 2

I’m obsessed with Yellowstone, and I think my dad would really like it, but he tried the first two episodes and gave it up due to the graphic death of the horse (episode 1) and the dog (episode 2). He is a big softy when it comes to those animals. His family has a ranch where they raise cows, sheep and goats, so he isn’t like that with all animals, but horses and dogs are a no go for him. He says that there are enough of those deaths in the real world, so he doesn’t want to see it on screen. Does anyone know if there are dogs and horses killed on screen after the first two episodes? I know that is a big question to ask, but I thought someone might know.