Think things over in bed when perplexed (7)

I believe the answer is:

bemused

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'perplexed' is the definition.
(similar in meaning)

'think things over in bed' is the wordplay.
'think things over' becomes 'muse' (I can't explain this - if you can you should believe this answer much more).
'in' is an insertion indicator.
'muse' inserted inside 'bed' is 'BEMUSED'.

'when' is the link.

Can you help me to learn more?

(Other definitions for bemused that I've seen before include "Dazed" , "Stupefied" , "Floored" , "In the course of puzzling" , "Puzzled" .)

I've seen this clue in The Globe and Mail.

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