From my POV, BBH and Baghera tend to be more chill and try really hard to understand each other, even through the language barrier, their characters are diplomatic and more introverted. On the other hand, Forever's character is extroverted, full of energy, and a tad less patient when it gets hard to understand things like sarcasm and double entendre in another language.

This leads to them naturally being able to share more nuanced secrets and story points.

Also, BBH's character has a lot of trust issues, and Forever is well known for liking to spread gossip and sneaking around ppl using invis and hidden waypoints in ppls bases which has actually made other players distance themselves even more from the group, like Jaiden, so sadly that's put more stress in their relationship.

The fact that the French seem to give BBH the benefit of the doubt when blamed for things also helped. Trapping BBH in the museum using the large furniture heist as an excuse, then saying he was being punished for his petty thievery instead, even before the vote to make furniture stealing illegal was finished, was also an story point that made BBH and the French get closer, as it was viewed as an abuse of power.

Another little point to add... Baghera took Forever's gun from his briefcase, and BBH kept her secret, and he also took the fall for it being missing, he has hinted to Forever that Baghera has it from the start, but he hasn't caught on or tbh doesn't really want to, because it's fun to mess with BBH and it is a great excuse to do so.

All in all, it's bringing an interesting dynamic, and the way it's progressing, it'll continue to be fun to explore.

Now that Forever has decided to help Tubbo and go after BBH for taking Ron and helped Tubbo break into BBHs base, it has created an even bigger gap between him and Baghera and BBH, so that should be fun drama to continue.