Do you think it'd be safe (non-irritant) to put a little bit of essential oil into dog shampoo?

So…...i’m a cat person. But yesterday me and my husband see this “sausage dog” puppy at a pet store. It was all alone, and quite cute. We couldn’t leave it there, hehe. Anyway, i really don’t like the smell of dog, and want to know if i can add a couple drops of essential oil into her shampoo. This is my first dog. Have you ever used essential oils in dog shampoo? Is there anything else one can do?

And if it’s not a good idea, that’s ok too, i’m just asking. I’ll just have to wash my hands and clothes more often.