Been thinking a lot about this chapter and its implications and I do have some thoughts:
First up Fujimine, I kept thinking why she would really care about Hakari and be so persistent about her and only her acquiring them. For sure it cant be bc Fujimine likes them because Fujimine cares only about herself and Tricaputo she has no real tangible feels for any of the Stars except maybe the WHM. So. Why make this big a deal about it?
I looked back at the last ch to see what in God's name Hakari's bullshit power is and from the looks of it, they seem to be- transforming / reconfigurating magic since they managed to dispers not only the magic blast Amadoro shot at them but also Amadoro's gun to! Why is this important? Well bc right after Amadoro says that her gun wand is made from her own magical energy crystallized. All of this together gives us the vivid idea that Hakari can reconfigure (?) magic.
How dose this tie back to Fujimine? The main way she fights that we have seen is with toxins made from magic , that are both air born and what not, Hakari's ability would outright be able to cancel out any way we have seen Fujimine have to fight. That would suck for Miss Mine here and she knows it. So she is desperate to destroy from the poard any way anyone would have to counter her ability. "What abt Tricaputo?" Her way of doing things works that's for sure, but it takes time, and we dont know what else Tricaputo can do rn but with Hakari its fast and instant, hell if your opponent isn't expecting it, it can give you an opportunity to attack.
Now, with all this in mind im going to say that: if Kumugi aquires Hakari, Fujimine is gonna be rightfully pissed off that someone working against her has a counter to her power so she is going to have it OUT for Kumugi. This new interest in Kumugi could lead into a wonderful set up for a reveal that Kumugi and Tricaputo are related (im still riding that ship boys) and open the door for a Harvest family arc later down the line