Bashe

Judging by the native transcription and the sound of the name, it is clearly not a Hebrew diminutive, but a Yiddish one. [noted -ed] The Hebrew should be בשה/באשה and not באשע, as ע is typically used in Yiddish for names ending in e. (I am a native Hebrew speaker who's studying Yiddish)

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Take Basha for example which is a variant of this name but is listed as Yiddish according to this site.

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https://www.behindthename.com/name/basha/submitted

From what I have found, Bashe can also be spelled Basha or Basia. Each are Polish and Slavic variations of Barbara.