Robot has strange item of headgear (8)

I believe the answer is:

tarboosh

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'item of headgear' is the definition.
'tarboosh' can be an answer for 'headgear' (tarboosh is a kind of headgear). I am not sure about the 'item of' bit.

'robot has strange' is the wordplay.
'strange' indicates anagramming the letters.
'robot'+'has'='robothas'
'robothas' anagrammed gives 'TARBOOSH'.

Can you help me to learn more?

(Other definitions for tarboosh that I've seen before include "Fez-like hat" , "Fez" , "Fez-like cap" , "top gear" .)

I've seen this clue in The Telegraph.

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