Did it really go the way you posted the auction?
South opened 1
♣, and then did not raise N's 1
♥ bid, looking at AQJx?
Assuming that you gave the auction correctly, it seems clear to play the encouraging 2. We are hoping partner has QJx (the x can be any card) and an early entry. Playing the A makes zero sense...altho any pair whose methods include that 1
♠ rebid may have jumped to 3N with the stiff
♦K, I suppose

I'm not playing for North to be that silly, no matter what S has revealed about his level of ability so far.
'one of the great markers of the advance of human kindness is the howls you will hear from the Men of God' Johann Hari
E S . W . N
p 1♣ p 1♥
p 1♠ p 3NT