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Miley Cyrus "Secrets" actually brought her closer to her father ... no, not the ones she's keeping close to her chest -- the song she says brought her dad to tears!

The singer-songwriter opened up about the emotional track she wrote for Billy Ray Cyrus during an interview with "CBS Sunday Mornings."

During the interview, Cyrus talked about how she didn't see herself physically giving the song to her dad at first ... though the entire time she was working on it she had the image of a white flag waving in the wind in mind -- a peace offering sticking in her head.

Miley says her dad wasn't the first person to hear the song -- she went to her godmother Dolly Parton and her mom Tish with it first -- but, when he did hear it, she says he couldn't hold it together. Gall

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