Crossword Genius

My international hotel's Greek location (7)

Ross

I believe the answer is:

corinth

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

'greek location' is the definition.
'Corinth' can be an answer for 'location' (Corinth is an example). I am not sure about the 'greek' bit.

'my international hotel's' is the wordplay.
'my' becomes 'cor' (both are expressions of surprise).
'international' becomes 'int' (abbreviation for international).
'hotel' becomes 'h' (phonetic alphabet: alpha, bravo, charlie etc.).
'cor'+'int'+'h'='CORINTH'

Can you help me to learn more?

(Other definitions for corinth that I've seen before include "Mediterranean port" , "Ancient Greek city" , "City of Greece" , "Region of ancient Greece" , "Greek Gulf, isthmus city" .)

I've seen this clue in The Telegraph.
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