Periods I spent in fort (8)

I believe the answer is:

presidio

'fort' is the definition.
(I know that presidio is a type of fort)

'periods i spent' is the wordplay.
'spent' is an anagram indicator.
'periods'+'i'='periodsi'
'periodsi' with letters rearranged gives 'PRESIDIO'.

'in' is the link.

(Another definition for presidio that I've seen is " Spanish military post".)

I've seen this clue in The Independent.

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