Afraid you're just going to have to ignore her then.
It will be hard, and you'll end up exhausted but it will work.
She is comfortable, warm and safe. It can't be doing her any harm. Puppies make the most horrendous amount of noise even when with their siblings, so it's not just because she's with you.
She's trying to get attention, ANY attention so don't say a word to her. Not a thing. No sushing, no soothing, no telling off. NOTHING.
Calm before bed, a wee outside with praise and then into bed with a treat. No fuss, just very matter of fact. If you fuss, she'll think her behaviour is what you want - or that there's a reason to need fuss IYKWIM.
If you want to take her out for wee, do it with no eye contact, no words. Just a swift scoop, out and back to bed.
It should work in a night or two. They a unimaginably quick to learn how to behave by following your cues, even if you don't know you're giving them.
When it comes to it, do the same when she has her first trip in the car.