The general manager of Doppio Zero in Hayes Valley said the man broke in around 4 a.m. Sunday.
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He was caught on camera walking into the office and trying to get into the safe.
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After struggling with the safe, the man took it out from under a table and carried it out the door.
General manager Gabriele Modica estimated that about $5,000 was inside the safe.
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"It is unfortunate, but it's not something that would really affect the business," said Modica.
He is hoping someone will recognize the thief and call San Francisco police.