Lala is such a weird character. While every other girl has been made in such a way to make their abilities somewhat plausible, Lala downright does magic.
The only semi-magical thing is a kind of ESP when you have an NDE - probably related to her head/body ESP.
As for the girl? Ummmm. Lala pried out one of Zombina's teeth with a pliars that she's holding behind her back. Lala then "bit" the girl with Zombina's tooth (presumably by driving it into her neck) after asking her if she "wanted power." Chuunibyou-speak for "Do you want to be strong again?" Then Zombina's zombiness infected the girl and she died and came back as a zombie.
It's a kinder, gentler Zombie Apocalypse. Both Lala and Zombina are technically undead, after all.
Also, agreeing that she's the closest thing to a magical girl with super powers makes it even funnier that she's so dissatisfied with her life she spends most of it in a fantasy daze imagining herself much more magical and bad-ass than she actually is.