A battle for the chair (5)

I believe the answer is:

sedan

I believe this clue is a double definition.

'a battle' is the first definition.
(I've seen this before)

'chair' is the second definition.
(sedan chair is a type of chair)

'for the' acts as a link.

(Other definitions for sedan that I've seen before include "Once a mobile chair for Danes" , "Saloon car in America" , "Old carrier chair for Danes" , "Palanquin; car" , "Four-door car" .)

I've seen this clue in The Globe and Mail.

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