I can't remember your home circumstances, sorry should have read back before writing this, but anyway...
My little whippet/IG pup, now 13 weeks, seems calmer now she's just with me, all guests having left.
She's also sleeping loads more, I think she was so overexcited with young guests in her first weeks here. I didn't plan it that way, they just descended on me. 😆
She definitely looked devilish and really aggressive at times when I had my young adult daughter and her boyfriend here and, like yours, would bark which I think is saying "c'mon, play with me!" Her teeth would be bared, looking like a piranha and fast as lightning. I noticed she did the barking more at males (my young adult son came to stay after my daughter left, so she's not had much peace). She would do 'parcour' around the furniture and pounce on them, and they would squeal and laugh and say they didn't mind her biting them.
Would they stand up and ignore her? No. It was hard.
I've forgotten your circumstances, but I fully empathise, also think your pup will outgrow it given time.
My own strategy has been to have a toy (or 10!) always close by, to throw a little away from me or put in her mouth, and if she managed to grab me in the process I would prise her off, stand up tall and turn my back. In silence for about 5 seconds. Sometimes I didn't sit for long at all, but that's supposed to be good for us, right!?
The barking, again I turned away and ignored, and she doesn't now do it to me.
Also thick gloves can be useful!
I do a bit of play and basic training with her, but on my terms.
Best wishes x