AQ vs. 32 against AK

I was thinking about this question... Probably I could come up with the answer myself with some effort but I let you guys take a bite on it.

If you are heads up and the other guy holds AK, are you better off with AQ or 32?

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In a 3-way all in..

AK 45.415%

AQ 23.452%

34 31.133%

23

You have two live cards.

AK dominates Ax


equity (%) win (%) / tie (%)

Hand 1: 74.0161 % [ 00.72 00.02 ] { AcKd }
Hand 2: 25.9839 % [ 00.24 00.02 ] { AhQs }

Hand 1: 65.9707 % [ 00.66 00.00 ] { AcKd }
Hand 2: 34.0293 % [ 00.34 00.00 ] { 3h2d }