AKs all in preflop Eevees ?

$0.02/$0.05 No Limit Holdem
PokerStars
5 Players
Hand Conversion Powered by weaktight.com

Stacks:
UTG Kupuscsikaja ($4)
CO G4mbler4life ($4.38)
BTN Hero ($16.99)
SB Sangsue1 ($13.24)
BB AwesomeLuck ($8.34)


24/14 over 94 hands pt3 preflop stats attached


Pre-Flop: ($0.12, 5 players) Hero is BTN
[Kupuscsikaja posts $0.05]
Kupuscsikaja checks, G4mbler4life raises to $0.15, Hero raises to $0.45, 2 folds, Kupuscsikaja folds, G4mbler4life raises to $0.75, Hero raises to $2.25, G4mbler4life goes all-in $4.38, Hero calls $2.13

villains CO opening range:
22+,A2s+,K8s+,Q9s+,J9s+,T8s+,97s+,86s+,75s+,64s+,5 3s+,43s,A7o+,K9o+,QTo+

villains 3bet range:
99+,AQs+,KQs,AQo+,KQo

villain has 3 bet 1 time out of 31 chances...although this is a small sample i think i can assume he is 3betting a relatively tight range here.

Hand 0: 44.391%

{ 99+, AQs+, KQs, AQo+, KQo }

Hand 1: 55.609%

{ AcKc }
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villains 6bet shoving range:JJ+,AQs+,AKo

Hand 0: 54.347% { JJ+, AQs+, AKo }
Hand 1: 45.653% { AcKc }


whats interesting here is that i dont think villains 3bet range changes from his 5bet shove calling range. given that fact i should have 5 bet shoved here as i manipulate his range to be slightly weaker than the way preflop played out.

regardless of this 2.13/8.88=24% so either way i have plenty of equity to call here but 5bet shoving is more profitable because his calling range would be slightly wider than his 6bet shove range.
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2 questions

1.am i right about 5bet shoving as opposed to calling his 6bet shove(as far as ranges go)

2.if i am right would the difference in EV of the two decisions be

my question isnt really about this part of the EV stuff
EV = (% villain fold)(current pot) + (% villain calls)(our equity)(bet+pot) - (%villain calls)(his equity)(bet)

%fold=0

(.56*8.88)-(.44*4.38)=4.97-1.93=3.04

EV of 5bet shove=3.04


question is here

to call his 6bet shove we need equity>call/call+pot

2.13/2.13+6.75=~24% we have 45% so good to go but my question....

is the ev of our call here going to be (45%-24%)*pot?

if so .21*8.88=1.86

the EV of a call is found by doing the same as you did for the 5b shove


(amount won (total pot) * how often (equity)) - (amount lost (bet size)* how often (1-equity))