Providing publicity for a first-class arena (6)

I believe the answer is:

airing

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'providing publicity' is the definition.
'airing' can be an answer for 'publicity' (I've seen this before). I'm not certain of the 'providing' bit.

'first-class arena' is the wordplay.
'first class' becomes 'ai' (A1 - top quality).
'arena' becomes 'ring' (eg a boxing ring).
'ai'+'ring'='AIRING'

'for a' acts as a link.

Can you help me to learn more?

(Other definitions for airing that I've seen before include "Broadcast" , "excursion" , "Expressing (an opinion) publicly" , "Ventilating, say a grievance" , "Broadcasting" .)

I've seen this clue in The Irish Independent.

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