You've talked about getting a "submissive puppy" on the theory that this will help the pup and cat get along better. I don't think that's right, though. I think you should be looking for a pup with a bright, cheerful temperament.
I've had cats and dogs (Goldens and others) together for years. At the moment I have two dogs and two cats, and I'm adding another Golden puppy to the mix soon. What I have found is that a Golden puppy raised with cats will bond with the cat and get along fine. You don't need a submissive pup. In fact, I think you're just asking for problems with a submissive puppy. Now, if you mean a "calm" puppy, that might be different. But still, I think a bright and happy typical Golden will suit you just fine.
I had a Golden puppy that was raised with a bunny. They even slept together (which the bunny definitely did NOT enjoy, but the puppy insisted upon, so quickly bonded to the bunny did the pup become). That puppy grew up adoring bunnies.
Your pup will bond with whoever/whatever is in your house. Even if you get a pup that naturally wants to chase cats (i.e., strong prey drive), it will be different with your
cat, because your cat isn't a cat, it's a member of the pack. That's the way dogs think. They are very specific, and your cat will be a family member, not a cat. Your biggest problem will be your cat, not the puppy. The puppy will adapt, and growing up with a cat will just be "normal" to the puppy. So, please consider getting a puppy with a classic Golden temperament, and avoid any shy/submissive/fearful/overly calm puppies.
My opinion, for what it's worth. I've had cats and dogs together for a very long time, and introduced various kittens and puppies to adults of the other species. As I type this, I have a cat and a terrier cuddled up together on my lap.
Of course, every puppy loves to play and has to learn boundaries. Whatever puppy you get will want to play with your cat, eventually, and your cat will set the boundaries with an occasional swat across the nose. Puppies are generally pretty good about getting those boundaries, as they naturally learn to moderate their bite and play behavior. Our cats will occasionally play with our terrier mix, but not the Golden (though the cats are constantly rubbing up against and cuddling with the Golden), and the Golden respects that pecking order.