gynoid requires you to succeed on abigail's lab puzzle but then refuse to give her the resulting solution. Magical girl is somewhat rng i believe, i know you need to swim in the pool with enough fitness and you may have to also start the school girl stuff but stop her with an IQ reducing syringe before she locks your wardrobe.
For asylum, how it works is each colored vial corresponds to a syringe you can buy. more specifically, they correspond to the vials you buy for the self-injector but work in the opposite direction. So the color for the vial that restores IQ would instead reduce it. There is a chance when you combine the liquids as part of the puzzle that there is a little explosion affecting you with one of the effects used, so what i was able to do is just do 4 of the same liquid which guarantees that effect. From there, you pick a desired effect (so far only know of IQ reducing, Libido, and height reduction working) and then use the explosion to more or less push you past the normal limit. So in the libido example, if your libido is maxed out and then the lab explosion goes off it pushes you over that limit and sends you into an asylum ending.