My puppy is trying to eat me alive

Obviously every puppy starts off with a little biting. We have our puppy one week now and the biting is only getting worse, first it was soft biting, now he's biting really hard. Since day one we have told him off, didn't seem to work at all. We started ignoring him when he started to bite, it helps a bit but he's still pretty much unbothered and will keep biting. We have tried to tell him off, give him a chew toy and still it'll only take a few seconds before he starts biting us again. anything that moves, he'll bite. So every goddamn time we are walking, slow or fast, he'll come for our ankles or shoes 🥲😅

I'm pretty sure he's just playing, but I'm worried if he continues like this, he will keep doing it once he gets older.

I also tried to give him frozen carrots. These get him super worked up. He LOVES them. Jumps around while eating it.

Is it normal puppy behavior and do I keep doing as I am now, or do I have to do something else?