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‘Sorry’ mistress: Woods duped me

Tiger Woods’ busty former-lingerie-model mistress yesterday detailed the steamy hotel trysts she had with the golfer during his wife’s first pregnancy — and tearfully apologized for the sex romps.

“According to [Tiger], things were rough [with his wife], and they were going to separate. He said, ‘We’re on the outs,’ but she was pregnant, and they had to get through that,” Cori Rist, a 31-year-old single mom from Manhattan, told NBC’s “Today” show.

“I realized the things he was telling me were false,” the stunning blonde said. “He has a way to make you believe that he is a very honest and good man.

“I’m just sorry for her pain,” the ex-mistress said of Woods’ wife, Elin Nordegren.

“I hate that I’m a part of it. . . . I just believed what he was telling me.”

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Rist said she and Tiger met in a Manhattan nightclub in 2006. “He was very affectionate and led me by the hand, and we just kind of disappeared, and that was the start,” she said.

Over the next six months, they managed to get together one to two times a month for sex — frequently in adjoining hotel rooms and using different names, she said.

“He would just tell me, ‘This is your room number, it’s under this name,’ ” Rist said.

“I would go to my room. Then, he would open the middle door.”

She said that at the beginning, she fooled herself into thinking she was the only one.

But “I would wake up sometimes in the night in hotels with him and hear him text messaging,” Rist said.

“I’d lay there and realized he would be having a conversation, so I suspected there were others. I asked who he was texting, and he would say [he was] checking e-mails.

“I don’t know how he had the time to have so many women in his life,” she said, as a 14th alleged Woods mistress emerged yesterday.

Rist — who has a 7-year-old son — denied that she was ever a paid escort.

She said Woods finally broke off any relationship they had in September, after he asked her to travel with him to California, Dubai and Australia and she refused.

kate.sheehy@nypost.com