Any way to embed a Modern List New form into a modern site page? Dialog option does not seem to work and I see no web part option.
Easiest is to get the URL for the form from the library and add it to the page as a link (or using embed code) but may require maintenance. I imagine the feature will crop up in modern UI in due course.
As far as I know the mordern expereince doesn't support webparts. I had this expereince where I couldn't change to modern expereince because my classic expereince library had a Webpart.
You can have a look at this article where it also writes about why webparts arent allowed in the new expereince. Link to article