@April I do have the momcozy s12 but I know they aren’t as good as my primary pump (Medela)
I have the s9pro and works great with my 1 week old. What also works is the 4moms mommaroo. It bounces while the heart beat sound plays.
Do you have a hands-free breast pump? I have a two week year-old that doesn’t want to be put down either and I just bought some. It’s a life changer. I can hold her. It’s not exactly the same but I can still do it and I can do everything else.