Dead Oceans (the label for Mitski's most recent album) has two songs from Puberty 2
for free, with no sign up or purchase required:
Look in the left sidebar under downloads.
The album has an 87 rating on Metacritic [metacritic.com]
and "Your Best American Girl" is one of the best tracks on the album according to reviews I've read and my own opinion.
Not sure how long this has been or will be offered.