Crossword Genius

State ... "To go in colonnaded covered walk!" (4)

Ross

I believe the answer is:

stoa

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'covered walk' is the definition.
(I've seen this in another clue)

'state to go in colonnaded' is the wordplay.
I cannot quite see how this works, but
'to' is present in the answer.
The remaining letters 'sa' is a valid word which might be clued in a way I don't understand.
This may be the basis of the clue (or it may be nonsense).

Can you help me to learn more?

(Other definitions for stoa that I've seen before include "Roofed walkway with colonnades - oats (anag)" , "Make a Greek porch out of oats" , "Oast (anag.)" , "classical colonnade" , "Series of columns covered" .)

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