Try to get a deeper understanding of AK

The hand below is more an example than what I am truly hoping to understand.
I have heard a lot of people say that the normal with AK is get play for stacks and I would love to understand the math behind that.

Using the below situation.
Villain shoves for 108.8 BB
Hero has the option to call for 83.8BB (108.8 - 25)
After calling the total pot would be 0.4 + 1 + 3 + 108.8 + 25 + 83.8 = 222BB

This means the pot odds on the call is 83.8 / 222 = 37.74%

If I assign a range to villain of QQ+, AKs, AKo. Then with AhKd I have 38.82% equity.

So with pot odds being less than equity then I can call?
Assuming the range assigned to villain is correct?

PokerStars - $0.05 NL (6 max) - Holdem - 6 players
Hand converted by PokerTracker 4

Hero (BTN): 169.6 BB
SB: 34.8 BB (VPIP: 9.38, PFR: 9.38, 3Bet Preflop: 7.69, Hands: 33)
BB: 100 BB (VPIP: 27.27, PFR: 18.18, 3Bet Preflop: 0.00, Hands: 24)
UTG: 103.8 BB (VPIP: 31.25, PFR: 21.88, 3Bet Preflop: 0.00, Hands: 34)
MP: 108.8 BB
CO: 100 BB (VPIP: 0.00, PFR: 0.00, 3Bet Preflop: 0.00, Hands: 3)

SB posts SB 0.4 BB, BB posts BB 1 BB

Pre Flop: (pot: 1.4 BB) Hero has K♦ A♥

UTG raises to 3 BB, MP raises to 9 BB, fold, Hero raises to 25 BB, fold, fold, fold, MP raises to 108.8 BB and is all-in, fold