Not the TL, but here are some culture notes:
1) Mike - Mi as in "me" an Ke as in "ketchup."
In Japanese, mike is to cats what pochi is to dogs. This term was liberally used in Kakegurui.
2) Mosquito Net
A net whose purpose is to keep pests out while letting the air flow in and out. Naturally, it is see-through. Usually used indoors to keep mosquitos out of the house (installed on windows) or while people sleep (mounted to hang around a bed or cot).
Literarily speaking, if you are "outside of the mosquito net," it means you can see, or at least know, that something is happening inside a particular place, but you are not a part of it.