Yes, Plastic Surgery is definitely a goth band because most of their albums belong to the Gothic Rock and Deathrock genres, which are among the core subgenres of goth music. Albums like Anything's Possible As Long As The Price Is Right are examples of their goth sound.
Plastic Surgery is located in United Kingdom, Scotland, Glasgow, active in 1987 — 1987. You can find more information about Plastic Surgery on their GothDB band page.
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