There is no conflict, but Levi has been fighting Ginji since the first time she met him. With this opportunity, do you think she will give up? Her character is also warlike, and no matter what, She said that she still belongs to Balalaika's side. She can't just let Ginci go. They also understand that Balalaika also knows her strength and character. Even if she loses, she will never let go.
And Ginci This time they had to cross this hurdle if they wanted to face Balalaika
So from the moment he decided to follow the lady and go against Balalaika, his fate was doomed, which was very tragic, especially for the lady. The last moment of suicide
The above is purely personal understanding. I hope it can help you. I am also a Black Lagoon lover