Tends to be under the influence of theologian concealing rush to build ark (8)

I believe the answer is:

drunkard

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'tends to be under the influence' is the definition.
I can't tell whether this definition defines the answer.

'theologian concealing rush to build ark' is the wordplay.
'theologian' becomes 'DD' (Doctor of Divinity degree).
'concealing' indicates putting letters inside.
'rush' becomes 'run' ().
'to build' indicates an anagram.
'ark' is an anagram of 'kar'.
'run'+'kar'='runkar'
'dd' enclosing 'runkar' is 'DRUNKARD'.

'of' acts as a link.

Can you help me to learn more?

(Other definitions for drunkard that I've seen before include "Sot, addicted drinker" , "alkie" , "One regularly intoxicated" , "Habitual inebriate" , "Alcoholic" .)

I've seen this clue in The Irish Times.

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