Place to sleep I’ll put in punt (6)

I believe the answer is:

billet

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'place' is the definition.
(I know that place can be written as billet)

'i'll put in punt' is the wordplay.
'put in' indicates putting letters inside.
'punt' becomes 'bet' (punt can mean a bet).
'ill' inserted within 'bet' is 'BILLET'.

'to sleep' is the link.
This may not be right. Some or all of it may belong to another bit of the clue.

Can you help me to learn more?

(Other definitions for billet that I've seen before include "Soldiers' quarters" , "Post" , "Lodging for troops in private house" , "private housing" , "Soldier's lodging" .)

I've seen this clue in The Times.

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