Hi again Idrisguitar, I hope you're still enjoying the game!
I hope Fien won't mind me giving you a nudge in the right direction.
No, April won't need to make use of the pizza machine, so don't waste your time with it.
There's a very important item in April's inventory that she needs to show someone. If I remember correctly, doing this will trigger a seemingly unrelated action to occur elsewhere (and a new inventory item will become available).
I remember being stumped at the same place during one of my subsequent replays when I hadn't played the game for a few years.
Hope this helps!