a.vit is the proper name of Hadad son of Bedad's city in the supplied genealogical notices.

The supplied occurrences use the noun as a proper place name: the city identified as belonging to Hadad son of Bedad in parallel notices.

1. City named as Hadad's · dominant

   In Genesis 36:35 and 1 Chronicles 1:46, the form is tagged Noun · Proper and occurs in the clause naming Hadad son of Bedad's city. In Genesis 36:35 the APB renders the clause, "and the name of his city was Avith," and 1 Chronicles 1:46 presents the same identification.

   Genesis 36:351 Chronicles 1:46

In the Anselm Project Bible: Across both cited verses, the APB presents the term as "Avith" in the clause naming Hadad's city. The verse is read as a whole, but its parallel wording confirms the place-name setting.