Drink near Prune?
depends on what you feel like drinking:
wine? definitely go to the Tasting Room wine bar. on the same block as Prune, but closer to 1st ave. where the full restaurant used to be before it moved to Elizabeth. great wine, espresso, etc.
another very close option is Lil' Frankie's Big Cheech. first ave between 1st and 2nd.
beer? scotch? in a super casual setting, go to dba. first between 2nd and 3rd. they have a great garden in the back too.
loungey? there's a new place called boucarou that's between prune and the tasting room. haven't been but looks sorta "swank" if that's your scene. wild card is that it has a big retractable roof, which might make it surprisingly great.