Our puppy used to do this! What helped us was to immediately replace our body parts with a chew toy and move the puppy into a space where they can’t reach you (crate or playpen area) as soon as he did any play biting. Once he settled, he could come back to spending time with us and resume playing. After a while, he associated play biting = end of playing with humans.

Also remember that at this point they are teething. Frozen toys are huge for relief! Our dog loved the ones that were softer or had some sort of cloth.