Well, this is bizarre: Jumaane Williams got sworn in as public advocate last week, even though the Board of Elections has yet to certify the results of the Feb. 26 vote, and may not ’til March 19. Nor did he resign his City Council seat, though he’s not supposed to hold both offices simultaneously.

The NYPD is providing Williams with the advocate’s usual security detail because he was not only sworn in by the city clerk, he also signed the official paperwork and paid the $9 fee. Presumably, that’s also why the city’s given him an official car.

Williams insists he’s simply trying to get a jump on his transition to the new office. After all, he’s soon going to be busy running for re-election this fall — petitioning for the primary has already begun.

We expect the advocate’s staff will play along, since he clearly will be their legal boss soon enough. Plus, City Council Speaker Corey Johnson, while insisting that he’s technically still the acting public advocate until the election gets certified, is coordinating with Williams.

In short, everything seems to be kosher (enough) on the public-advocate front — it’s not like the office actually does much of anything, anyway.

But it sure looks like Williams ought to give up his City Council seat, even if he can claim that he doesn’t yet have to under the law. He plainly wants to focus on his new job (and enjoy his new perks), as well as his re-election fight.

How much time can he possibly have for his old constituents, who’ll be losing him soon, anyway? Plus, any official action he takes as a council member is now an easy target for a lawsuit that argues he’s no longer legit.

The entire advocate special election has already been a bizarre and expensive joke. The winner would do everyone a favor by not adding more to the madness.