High-level connection brigadier organised (3,6)

I believe the answer is:

air bridge

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'high-level connection' is the definition.
I know nothing about this answer so I can't tell whether this works.

'brigadier organised' is the wordplay.
'organised' indicates anagramming the letters.
'brigadier' anagrammed gives 'AIR-BRIDGE'.

Can you help me to learn more?

(Other definitions for air bridge that I've seen before include "Walkway put up against plane's door" , "Link over water" , "way off plane" , "Transport link needing flying visit" , "Sky link" .)

I've seen this clue in The Times.

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