Cardi B Admits She's a Blood but Not in Tekashi69's Old Set Nine Trey

3:37 PM PT -- Cardi seems to be taking issue with her rep ... saying she IS a Blood, but absolutely not associated with 9 Trey. Cardi explained, in a tweet, she's a member of the Brim Bloods set.

2:01 PM PT -- A rep for Cardi has denied the claim she's a member of the Bloods, telling TMZ, "This is not true."

11:40 AM PT -- Cardi B has also been roped into Tekashi's case -- during cross examination, he confirmed she was a member of the Bloods.

TBH, the reference to Cardi seemed totally gratuitous -- under cross-examination, Aljermiah Mack's attorney asked Tekashi if he had copied the blueprint to Cardi's success by using gang members in his projects. Tekashi denied it.

10:33 AM PT -- Tekashi testified he offered Nine Trey members $50,000 to rob and shoot at Harv after the kidnapping incident. He also just testified rapper Jim Jones is a member of Nine Trey.

Prosecutors played a phone conversation between Jones, Shotti and Mel Murda in which they're all talking about getting revenge on Tekashi for snitching. They make multiple references to Tekashi getting "violated."

After the recording was played, Tekashi identified Jones as a member of the gang. Worth noting ... a couple months ago, Jim was on The Cruz Show, and you gotta check out his reaction when someone brought up 6ix9ine's music.

8:44 AM PT -- During Tekashi's testimony Thursday morning, he claimed he initially lied about portions of the kidnapping -- specifically that he got pistol-whipped and knocked unconscious right away -- because he was humiliated. As the dash cam video shows ... that didn't happen. He claims he was pistol-whipped later on, though.

The rapper testified that he didn't ID his kidnappers to police or the media after the incident, but he did meet up with his former manager, Shotti, and Mel Murda afterward at his house and told them Harv and Nuke were the perps. Tekashi claims they stole $365k worth of his jewelry, and some of Harv's text messages were shown in which he's allegedly trying to unload the stolen jewelry.

There's more -- a recorded prison convo with Mel and another associate was played for the jury in which Mel details the incident and says 2 guys -- Black Boy and Hollywood -- were involved. Tekashi testified that Black Boy is code for Nuke, and Hollywood is Harv.

Another convo between Tekashi and Shotti was played, in which Shotti references the kidnapping and suggests he wants to kill Harv for it. The convo was captured by a wiretap in a van, and Tekashi testified he didn't know he and Shotti were being recorded.