Ah, I see the Hypocrisy Police are as responsive as ever. When the shelters are empty of animals, we will no longer have pets. Mull that over and you'll have your answer.
There is this popular meme that pet ownership is inherently good and makes owners morally superior. Hint: That is factually wrong. But it leads people to deceive themselves. And as long as this holds, pets will be bred to meet the demand, pet owners will give them to shelters and shelters will never get emptier. Worse: Every pet you take from the shelter will increase market pressure to resupply. The only way to get less pets in shelters is to decrease the supply. That means decreasing pet ownership overall. Make pet ownership frowned upon like smoking. Prohibit breeding altogether.
If I understand correctly, then I would say it's your choice to perpetuate owning a pet, specifically a dog. And in fact, as pointed out elsewhere in this thread, with careful planning dogs can be plant based, and there are even synthesized amino acids available that normally only come from animals but can be grown from yeasts and mushrooms. So you can have your dog and not need to support killing other animals.