“Boardwalk Empire” actor Michael Pitt made a bizarre overture to a Post reporter at a Brooklyn court hearing Thursday – as his defense attorney attempted to get his criminal sex act charges tossed.

Pitt, 44, tried schmoozing the reporter — inviting her to his home to “have a conversation” — after she approached him in Brooklyn Supreme Court for comment ahead of a hearing in his ongoing domestic violence case.

Wearing sunglasses and a baseball cap, Pitt — who is accused of sexually assaulting his ex-girlfriend and beating her at his Brooklyn home — insisted that if the reporter wanted to talk about the case, she should “come over” to his pad.

“If you want to come over to my house, and have a conversation, officially, you’re the New York Post, you can come to my house, I’m inviting you

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