Crossword Genius

Coming around to Washington head of state (6)

Ross

I believe the answer is:

waking

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'coming' is the definition.
Both the definition and answer are adjectives. Maybe they are linked in a way I don't understand?

'to washington head of state' is the wordplay.
'to washington' becomes 'wa'.
'head of state' becomes 'king'.
'wa'+'king'='WAKING'

'around' acts as a link.

Can you help me to learn more?

(Other definitions for waking that I've seen before include "prelude to rising" , "conscious hours" , "getting aroused" , "Emerging from sleep" , "Stirring, coming to life" .)

I've seen this clue in the Irish Times.
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