Dance that comes from Cuba and Burma (5)

I believe the answer is:

rumba

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'dance' is the definition.
(rumba is a kind of dance)

'comes from cuba and burma' is the wordplay.
'burma' anagrams to 'RUMBA'.
Though, I'm not sure how this is indicated.

'that' acts as a link.

Can you help me to learn more?

(Other definitions for rumba that I've seen before include "Latin American dance" , "What to perform" , "Burma (anag)" , "Lively Cuban dance" , "Dance originating in Cuba" .)

I've seen this clue in The Globe and Mail and The Guardian.

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