Tijuana brass player downing a starter of empanadas and a refreshing drink (6,3)
I believe the answer is:
herbal tea
'drink' is the definition.
(herbal tea is a kind of drink)
I can't explain the rest of the clue.
Can you help me to learn more?
(Other definitions for herbal tea that I've seen before include "Plant infusion" , "liquid concoction" , "hot drink" , "healthy drink" .)