Crossword Genius

D-Day objective that's now clear following order (5)

Ross

I believe the answer is:

omaha

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'd-day objective' is the definition.
Although both the answer and definition are singular nouns, I don't understand how one could define the other.

'now clear following order' is the wordplay.
'now clear' becomes 'aha' (I can't justify this - if you can you should give a lot more credence to this answer).
'following' is a charade indicator (letters next to each other).
'order' becomes 'om' (Order of Merit).
'aha' put after 'om' is 'OMAHA'.

'that's' acts as a link.

Can you help me to learn more?

(Other definitions for omaha that I've seen before include "American Indian" , "American town" , "Nebraska's largest city" , "US 1944 D-Day landing beach" , "Where American may work" .)

I've seen this clue in The Guardian.
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