Crossword Genius

Department has lost heart in remotest area (6)

Ross

I believe the answer is:

depths

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'department has lost heart in remotest area' is the definition.
I can't tell whether this defines the answer.

'department has lost heart in' is the wordplay.
'department' becomes 'dept'.
'has' is a charade indicator (letters next to each other).
'lost heart in' becomes 'hs' (I can't justify this - if you can you should believe this answer much more).
'dept'+'hs'='DEPTHS'

Can you help me to learn more?

(Other definitions for depths that I've seen before include "Demoralisation" , "Deep water" , "Sea bottom" , "lowest part" , "Deepest or most central parts" .)

I've seen this clue in The Daily Express.
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