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I wouldn't worry at all at 13 weeks, as long as he's getting plenty of socialisation and exercise then I'd just try and enjoy it. They're not puppies for long. You're presumably his favourite person and that's why he's doing it to you. But so much stuff they do at that age will pass (and then you'll get new problems).
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Yeah, as you'll have gathered from the range of responses on here, dogs are all different and some things will work for some dogs and for others they'll just have to grow out of it. Try to be consistent where you can (this is def key in all aspects of dog training) but also find things that work for you where possible and keep in mind that they are just a puppy, it will pass and get much better soon.
How old is he?