AK push preflop contra FISH?

Hola,
El villano es un FISH que estaba jugando 95/43. Esta bien el push?

Hand converted with online PokerStrategy.com hand converter:

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$0.1/$0.25 No-Limit Hold'em (5 handed)

Known players:
[tg]MP3$24.25:///////;CO$27.75:///////;BU$10.00:///////;SB$10.13:///////;BB (Hero)$46.84:///////;[/tg]

Preflop: Hero is BB with A:d, K:h.
MP3 raises to $1.25, CO folds, BU calls $1.25, SB folds, Hero raises to $4.00, MP3 calls $2.75, BU raises to $10.00, Hero raises to $47.09, MP3 calls $20.25(All-In).

Flop: ($81.19) T:s, 9:c, 4:h (3 players)

Turn: ($81.19) 5:c (3 players)

River: ($81.19) A:c (3 players)

Final Pot: $81.19.

Results follow:

Hero shows a pair of aces(Ad Kh).
BU shows a pair of aces(Kc Ah).
MP3 shows two pairs, nines and fives(5d 9d).

MP3 wins with two pairs, nines and fives(5d 9d).