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Mayor Bloomberg swore he wouldn’t run for a third term — and then he did. He recently promised he wouldn’t seek a fourth term, but Thursday wouldn’t rule that out either.

Asked if he’d be interested in making it 16 years at City Hall, Bloomberg responded, “The law does not permit it.”

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Later Thursday, Bloomberg spokesman Stu Loeser pointed out that the mayor in June said he won’t seek a fourth term — “period.”

Notably, it was Loeser who, back in January 2008, insisted: “The mayor is absolutely not seeking a third term.”