Areca here refers to "Areca nut" (or "Betel nut"), a fruit from an areca palm. Many people in Taiwan chew it. Most areca nut stores in Taiwan also sell cigarettes or drinks.
https://en.wikipedia.org/wiki/Betel_nut_chewing
https://en.wikipedia.org/wiki/Betel_nut_beauty

There's no tag can fit this kind of store exactly, but the Taiwanese community recommands "shop=kiosk" ("台灣的檳榔攤可考慮採用此標籤").
https://wiki.openstreetmap.org/wiki/Zh-hant:Key:shop