Look into bite inhibition training. Also with time I'll sure she'll stop biting as much. I don't hit my puppy, i just pull away and say "ouch" when she bites. Now at 6 months, she rarely bites and when she does, it doesn't hurt at all.
If she's not whining and barking while you are away that's good. I don't think you want a dog with separation anxiety. As she gets older shell bond with you. Takes some time and patience.
Congrats on the puppy. Look forward to seeing pics.
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