For the source text click/tap here: Pesachim 63
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There are many opinions, but it appears that Beit Pagei represented the “third wall” that surrounded the “new city” of Jerusalem. Some say that Beit Pagei is from the Latin root meaning “to eat.” According to this opinion, it was so named because within that wall was still considered Jerusalem with regard to the mitzva of eating korbanot that had to be consumed within the city walls. There also was a small village just outside of Jerusalem that was called Beit Pagei – perhaps because of the figs (pagim) that grew there.