Double eagle giving handicap (9)

I believe the answer is:

albatross

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'handicap' is the definition.
(I know that albatross is a type of handicap)

I don't understand how the remainder of the clue works.

Can you help me to learn more?

(Other definitions for albatross that I've seen before include "Large oceanic bird" , "Great shot" , "See 7" , "Ocean bird; a burden (round neck)" , "Large seabird or constant burden" .)

I've seen this clue in The Telegraph.

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