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Tameka "Tiny" Cottle didn't appear to be near the fight last night -- but she was in Vegas -- and hours before posted a picture on Instagram while hanging out with Floyd's daughter ... calling the young girl her "new boo."
We're told T.I. was upset about the photo -- and others she posted -- and felt it was disrespectful to him ... so he planned to confront Floyd in person.
Once they got face-to-face though, T.I. flipped out when Floyd said "control your bitch" and started swinging outside Fatburger.
Shades of Sterling and Stiviano ... minus the racism.

