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In “Caught Stealing,” director Darren Aronofsky teaches a lesson about cat-sitting for neighbors: Don’t.

Eager to get back home, a punker (nicely played by Matt Smith) stashes his cat with neighbor Hank Thompson (Austin Butler) when he makes a quick getaway.

Matt Smith, left, and Austin Butler roam the streets of New York in "Caught Stealing." Sony Pictures

Thompson, a former baseball player who now tendsbar, is unsure he’s the best man for the job. But then thugs come calling, ask for the missing neighbor and leave a calling card— a thrashing that lands the cat sitter in the hospital.

Thankfully, Hank doesn’t ignore authorities and calls a detective (smartly played by Regina King) who has a “been there, done that” past with others. She takes the info, then tells him there are two Orthodox Jews who also have been nosing around.

Before long, poor Hank is toting the cat through New York, hoping to find help— and an answer to the mystery at hand. Millions, apparently, are stashed somewhere but, where, how and why?

Regina King tries to tutor Austin Butler about the thugs who are circling in "Caught Stealing." Sony Pictures

The cat (smartly played by a veteran film cat named Tonic) holds the key, but isn’t revealing clues. Instead, that’s left to Hank to suss out.

Butler runs through landmarks in the city, dodges bad guys on public transportation and deals with a missing kidney (among other things) before he learns the truth.

Aronofsky never lets the film sag or the irony dissolve. He uses the cat to good effect and doesn’t allow Butler to slip into Method mode.

That makes scenes with the Jews (Liev Schreiber and Vincent D’Onofrio) more fun than the Russian-speaking mobsters who set the wheels turning.

While Zoe Kravitz— as Hank’s girlfriend— should have gotten more screen time, she provides impetus for the cat sitter’s moves.

Zoe Kravitz and Austin Butler star in "Caught Stealing." Sony Pictures

Dark and moody, “Caught Stealing” benefits from its time frame —it’s set in 1998. Aronofsky shows the World Trade Towers and references Mayor Rudy Giuliani. Those touchstones help viewers understand why certain tactics aren’t employed during this cat-tastrophe.

Carol Kane makes a brief appearance when Hank is taken to a home where he’s more than encouraged to eat. That ups the laughter and gives him one more reason to rely on those skills he learned in baseball. The cat, meanwhile, seems to know who to trust.

When the punker returns (spoiler alert!), it’s clear who’s batting cleanup.

While “Caught Stealing” often goes off into too many directions (particularly for a man who just had a kidney removed), it shows how versatile Butler can be. Work he does here isn’t at all like anything we saw in “Elvis” or “Dune, Part 2.”

He’s playing in early Brad Pitt leagues and could be the one who drives home big films decades from now.

That’s a tall order, to be sure, but as long as he has the cat in tow, he’s geared for a home run.