Honestly I don't get why chloe is so gungho over the ml. What will she gain?

Nothing. She just wants to be seen as better so people will listen to her.

Basically a biatch with the main character syndrome, huh?

Yeah. It’s just fueled by her pride and ego. That’s why she didn’t back down when Adele was essentially ruining Chloe’s life over land
Like there’s ambition and then there’s just her hurt pride