Crossword Genius

Rooms known to be reduced in snowy city (4)

Ross

I believe the answer is:

omsk

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

'snowy city' is the definition.
'Omsk' can be an answer for 'city' (Omsk is an example). I am not certain of the 'snowy' bit.

'rooms known to be reduced' is the wordplay.
'to be reduced' indicates a hidden word (reducing the letters in the clue shows the answer).
'OMSK' is hidden in the letters of 'rooms known'.

'in' acts as a link.

Can you help me to learn more?

(Other definitions for omsk that I've seen before include "Russian city" , "Womble" , "Russian place" , "City in Siberia" , "City of Asian Russia" .)

I've seen this clue in The Times.
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