Where does “fale” come from?

fale (Tokelauan) comes from Proto-Polynesian fale, from Proto-Oceanic pale, from Proto-Eastern Malayo-Polynesian balay, from Proto-Central-Eastern Malayo-Polynesian balay, from Proto-Malayo-Polynesian balay, from Proto-Austronesian balay — house; hall.

fale (Tokelauan): house