Crossword Genius

A bath in USA unable to furnish (5)

Ross

I believe the answer is:

sauna

I'm a little stuck... Click here to teach me more about this clue!

'a bath' is the definition.
(I've seen this before)

'usa unable to furnish' is the wordplay.
'SAUNA' is hidden within the letters.
But, I'm not sure how the hidden word is indicated.

'in' is the link.

Can you help me to learn more?

(Other definitions for sauna that I've seen before include "Steam-heated room" , "A Scandinavian steam bath" , "Room for steam bath" , "Scandinavian hot room for cleansing oneself" , "Very hot room for cleansing, of Finnish origin" .)

I've seen this clue in The Hindu.
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