Battle fitting last of scrap into shed (7)

I believe the answer is:

lepanto

I'm a little stuck... Click here to teach me more about this clue!

'battle fitting' is the definition.
'lepanto' can be an answer for 'battle' (Battle of Lepanto, 1571 naval battle). I am unsure of the 'fitting' bit.

'last of scrap into shed' is the wordplay.
'last of' indicates one should take the final letters.
'into' is an insertion indicator.
'shed' becomes 'leanto' (lean-to is an outside building or shed).
The last letter of 'scrap' is 'p'.
'p' going into 'leanto' is 'LEPANTO'.

Can you help me to learn more?

(Other definitions for lepanto that I've seen before include "Famous 16th-century sea battle; on plate (anagram)" , "Polenta (anag.); battle" .)

I've seen this clue in The Guardian.

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