Battle for the chairman's seat? (5)

I believe the answer is:

sedan

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

I can't explain the rest of the clue.

(Other definitions for sedan that I've seen before include "Dean's in an old conveyance" , "big chair" , "Chair to be carried by two" , "Where Prussians defeated French" , "Type of chair - battle" .)

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

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