The billionaire financier embroiled in New Jersey’s biggest divorce copped to “dating’’ another woman — but claimed the pair never had sex or even got naked, according to bizarre cop body-cam footage.

The video — filmed by Millburn police responding to one of several police calls to the troubled family’s mansion in 2023 — reveals odd new details about the sensational case pitting John Overdeck against estranged wife Laura in her battle for a mind-boggling $6.2 billion.

The hubby, a 56-year-old dad of three, calls his unnamed gal pal “a little bit of a live wire” in the footage while describing their strange relationship for officers in October…

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