Need reassurance that the level of biting is normal

Hi everyone could really use some reassurance.

I’ve got a 10 week old miniature schnauzer whose biting just feels out of control. I know she is teething, but I feel like we didn’t immediately get on top of the whole biting ≠ play thing and now when she’s even a little bit tired/excited/hyped she will bite us and bite HARD. It’s also accompanied by a lot of growling and I don’t know if this is just a part of play or if it’s indicative of some other behaviour problem.

I try doing the whole redirect, put a toy in her mouth, stop walking/playing if she bites and put her in ‘time out’ if she doesn’t chill out but I feel like it’s just not working. I can’t see a single instance where she associates us stopping playing with her being a consequence of her biting, so I just don’t know how it’s ever going to click for her that she shouldn’t bite us. It just feels like in all the chaos of her biting us, us pulling our hand away and exciting her more, then us putting her in her puppy pen isn’t working in making her see that biting ≠ okay.

I’ve been told that she’ll hopefully chill out when she stops teething, but a lot of this doesn’t seem like teething behaviour which makes me scared that I’m going to end up with an adult dog that growls and bites and can actually do some damage.

Please any advice welcome I’m feeling the puppy blues.