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WOODY: IT’S OUR BABY ; HE AND SOON-YI STROLL WITH INFANT DAUGHTER

Woody Allen and child bride Soon-Yi Previn now have a baby of their own.

“Yes, it’s our baby,” the proud papa director confirmed as he and Previn pushed tiny Bechet Dumaine Allen in a stroller up Madison Avenue yesterday.

Allen would not reveal exactly how old the blanket-swaddled infant was, saying only she is “a few months.”

He also would not say if he and Previn – the adopted daughter of Allen’s ex-paramour – adopted Bechet, who appears Asian.

But in recent photos, the Korean-born Previn has not looked pregnant.

The happy couple, married since December 1997, posed briefly for photographers outside their Fifth Avenue apartment building.

Allen revealed their daughter’s name exclusively to Post lensman Lawrence Schwartzwald.

Although Allen didn’t reveal the source of the baby’s name, Sidney Bechet was a jazz giant, who played soprano sax and clarinet. When he’s not directing, Allen plays jazz clarinet.

Woody, Soon-Yi and Baby Bechet looked like any normal family – but they didn’t start out that way.

Allen, 63, shocked the world in the summer of 1992 when he revealed his affair with Previn, then a college student and the adopted daughter of Mia Farrow, Allen’s love for 12 years.

“The heart wants what it wants,” he proclaimed.

The Academy Award-winning director had known Previn since she was about 8 – although he always denied he was a father figure to her.

Farrow had adopted Previn, now 28, with her ex-husband, conductor Andre Previn.

An enraged Farrow discovered the affair when she found nude pictures of Soon-Yi in the young woman’s bedroom in her Central Park West apartment.

She allegedly broke a chair over her daughter’s head and locked her in a closet.

The confession launched a bitter custody battle between Farrow and Allen.

Allen fought Farrow for custody of three of her then 11-member brood – their mutually-adopted children Dylan and Moses and their biological son Satchel.

In retaliation, Farrow charged Allen in December 1992 with fondling Dylan, then 7.

The ugly battle was filled with charges that Allen had sex with Soon-Yi in front of her younger siblings and of verbally abusing his children.

Allen’s legal team accused Farrow of adopting kids for a thrill and then ignoring or verbally abusing them.

Allen was cleared of the molestation charges but barred from seeing his children without a monitor in the room.

Also yesterday, a slew of memorabilia from the film icon’s movies over the last 10 years went on the auction block in Long Island City, Queens.

Fans and folks who just like bagging bargains flocked to a warehouse and forked over $10 for a numbered paddle.

Most of the eclectic props – ranging from lingerie, a wooden phone booth and lots of chairs – sold for cheap. The proceeds went to charity.