British trio's refurbished inexpensive eatery (6)

I believe the answer is:

bistro

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

'inexpensive eatery' is the definition.
'bistro' can be an answer for 'eatery' (I've seen this in another clue). I'm not sure about the 'inexpensive' bit.

'british trio's refurbished' is the wordplay.
'british' becomes 'b' (abbreviation e.g. in BBC).
'refurbished' is an anagram indicator.
'trios' anagrammed gives 'istro'.
'b'+'istro'='BISTRO'

Can you help me to learn more?

(Other definitions for bistro that I've seen before include "Small informal french-style resturaunt" , "Orbits (anag)" , "Coming out of restaurant" , "Cheap restaurant" , "Small inexpensive eatery" .)

I've seen this clue in The Guardian.

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