Crossword Genius

Small bed, the final bird shelter (4)

Ross

I believe the answer is:

cote

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

'bird shelter' is the definition.
'cote' can be an answer for 'shelter' (cote is a kind of shelter). I'm unsure of the 'bird' bit.

'small bed the final' is the wordplay.
'small bed' becomes 'cot' (I've seen this before).
'final' says to take the final letters.
The final letter of 'the' is 'e'.
'cot'+'e'='COTE'

Can you help me to learn more?

(Other definitions for cote that I've seen before include "Coop or small shed" , "Place for doves" , "Small shelter, for doves say" , "Home for doves" , "Shelter for pigeons" .)

I've seen this clue in the Sydney Morning Herald.
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