Pep Guardiola's side made the perfect start and took the lead after just four minutes, with Jesus directing Oleksandr Zinchenko's driven cross into the net.
19 minutes later, Jesus doubled the lead from close range, heading in Kevin de Bruyne's superb cross.
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The visitors worked themselves back into the game and halved the deficit just before the half-hour mark as Hassane Kamara raced through the left flank and fired across Ederson into the bottom corner.
The entertainment continued as we restored the two-goal lead just minutes after conceding through a ferocious Rodrigo strike which flew past Ben Foster and nestled into the top corner.
Just seconds after the interval, Jesus pounced on Kamara's sloppy pass and rounded Foster, who brought the striker down. The Brazilian picked himself up and calmly slotted the penalty into the bottom left corner to claim his first top-flight hat-trick and the match ball.
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The 25-year-old wasn't done yet and got his fourth goal of the game in the 53rd minute, coolly finishing after De Bruyne's cutback, making him the first player to score four times in a single Premier League game since September 2020.
View the best images from a superb display at the Etihad via the gallery below.