Crossword Genius

Run into State Police in the dead centre of the hospital (6)

Ross

I believe the answer is:

corpse

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

'run into state police in the dead centre of the hospital' is the definition.
I know that 'dead' relates to this answer.

'run into state police in the dead centre of' is the wordplay.
'run into' becomes 'r' (I've seen this in other clues).
'state police' becomes 'cops' (I've seen this in another clue. I am not sure about the 'state' bit.).
'in' indicates putting letters inside.
'the dead' becomes 'dec'.
'centre of' says to take the centre.
The middle letter of 'dec' is 'e'.
'r' placed within 'cops' is 'corps'.
'corps'+'e'='CORPSE'

Can you help me to learn more?

(Other definitions for corpse that I've seen before include "Dead bodies" , "Cadaver, dead person" , "Dead body" , "Roof beam" .)

I've seen this clue in The Irish Times.
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