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The ex-JPMorgan banker who accused his boss of making him her “sex slave” got his sister to lie in sworn testimony for him — claiming she saw the boss kiss her bro on the neck and tell him, “I own you, Brownie” — according to a new filing from the bank that seeks to dismiss the case.

Chirayu Rana allegedly enlisted the help of both his sis and a close friend to back his lurid allegations against Lorna Hajdini — who fired back last month that Rana was actually waging a “deliberate and sustained scheme” to portray her as a racist sexual predator and criminal.

The JPMorgan Chase & Co. headquarters in New York.…