New York’s Bravest remembered one of their own this week: Fallen fire fighter Joseph Graffagnino was posthumously promoted to lieutenant.

A wholly fitting honor – though we can think of one better: Tear down the building that killed him.

Thursday’s promotion ceremony marked 306 days since Graffagnino and fellow firefighter Robert Beddia perished while battling a blaze at the 9/11-scarred former Deutsche Bank building.

That’s 306 days in which the building’s remained at exactly the same height it stood on the day of the fire – even though officials from the Lower Manhattan Development Corp. promised to have it down by the end of 2007.

To be sure, work is going on there – the LMDC finally won approval from the Department of Buildings to begin deep-cleaning the structure in late April. Once that’s done, workers can resume dismantling the building’s remaining 25 floors.

But plans for deconstruction – which contractor Bovis Lend Lease says it’s months away from drafting – still require approval from a dozen-plus regulatory agencies.

Bureaucratic dithering and blame-shifting have kept the building standing for nearly seven years – sure proof of the old maxim that if everyone’s in charge, no one is. What’s needed is a long-overdue sense of urgency on the part of LMDC chief Avi Schick – and serious oversight from Mayor Bloomberg.

Quite frankly, we’d be surprised if the building ever comes down.

Anybody want to bet?