Sounds like a bunch of stuff combined to make things feel insurmountable.
*untrained puppy with the body of an adult
*energetic teenager who hasn't been exercised nor given acceptable outlets for her energy
*boundary pushing teen phase
*new home with new rules
*pup trying to establish herself within her pack (while being too old to get a puppy pass, and not quite old enough/experienced to know proper pack manners
When you jump in feet first it sure is overwhelming. Training will happen with the pup just by living with her. You will establish boundaries and correct her for improper chewing. Correct her for rough play or impolite behavior with the older dogs. Allow the older dogs to correct her. It will SOUND horrendous but I've seen older dogs correct puppies and it almost never results in an injury (because bite inhibition is a thing). You might not want to take that risk, but I've taken it with all my dogs as that is a choice I am comfortable with.
Make sure the older dogs get time AWAY from puppy (9pm is puppy bedtime even if we stay up later, except if she's already crashed out in the living room with us. If she is sleeping or behaving nicely and my older girl can have freedom and not be bothered by her she can stay out. If she's being a pest, it's bedtime and she is put in the crate for the night). Do lots of training and get both of you into classes. Literally the only way I'm surviving Lana's puppyhood is with classes. Something fun that we can do together to build a bond, get some energy out, learn some stuff, and experience life. I would start with obedience because that opens up a world of new stuff (scentwork, dock diving, barn hunt, rally, competitive obedience, agility, FAST CATS, trick dog, etc).
There are tons of 'games' that are actually training.
-It's your choice is the one that is recommended in literally every class I've taken from beginner's obedience, puppy kindergarten, to scentwork and rally
-Nothing in life is free (the pup has to EARN their food; though some people don't like this and want their dogs to know food will always be available without needing to do tricks)
Kikopup has a youtube channel that you might want to check out for training videos.
If walks end in fun stuff, dogs will be "positively reinforced" to go on walks. But don't forget that other off-leash options are available (fetch, dog parks, dog beaches, hikes, etc) for those who have reliable recall for public access areas. You can try to get together with other dogs around the same age and size so they can wear each other out then do some training (like 5-10 minutes) before coming in for a nap.
I think if you can reliably get her energy out, some of the problems will lesson (the harassing the older dogs to play, the inappropriate chewing, etc).
Also puppy blues are a thing. A lot of people get a puppy and almost immediately regret the decision because of how overwhelming it can be. But before you know it you'll all settle into a routine and things will get easier. I love Lana and I love Gypsy and I loved Bear. I had puppy blues with each of them. Like sit on the floor, and hysterically ugly cry while sobbing that I'm a horrible dog owner and why is this so hard and why won't she just go to sleep <<< that was a foster dog I took in. With Bear my puppy blues culminated with ugly crying outside a Petco cause Bear wouldn't stop pulling and all my training tricks weren't working and I felt like a failure. You're not alone. *hugs*