She actually get taught some advance stuffs before hand because her teacher was basically the top student during his years and she's such a competent student that he kept pushing to see how far she can go.
And also because circumstances demand it.
Don't worry though, intentionally and unintentionally, Myne ends up 'inventing' quite a few new things.
So, there's this one Mount magic tool where you basically create your own flying mount (to be more precise, you fill a magic stone with your mana and shape it to your will, afterward the stone will basically be locked to your mana signature and thus can only be used by you)
Normally people would create it based on an animal that's the symbol of the family + wings.
Myne basically made the cat bus from Totoro, except with red panda theme.
When during the mount creation class in school (so yeah, she made that pre-school) she showed it, some people panic due to how it resembles an existing monster.
But eventually more people, mostly female, adopted the 'car seat' model part of her mount because horse riding for a long period isn't very comfortable for ladies.
Even so, Myne's mount is still unique in that she can change its size at will (ranging from a simple single seat size to so large it can basically be used as a house)
Her non-magical inventions include teaching toys for children, with 2 actually being quite important enough to the domain.
Because praying to the Gods give you benefits in return, remembering the names of those Gods and who they are is quite important.
So Myne created basically poker cards, with each family of Gods representing a suit.
Although she initially made it as studying toys for the orphans (since they need to learn this to become apprentice), it become a very useful studying tool for noble children as well.
There's also, of course, printing machine, as well as colored inks, to make said cards...and her books.
And this one is early on, but after Myne taught Frida how to make pound cake and suggested to her the taste-tasting party to advertise it, Benno came to her sorta demanding that he now want in on food business too.
Well, Myne thought about it for a moment.
Then went "You know what, screw sweets, let's open Italian restaurant! I wanna eat Pizza, Pasta, etc!"
Lutz and Mark to the side has a conversation along the line of
Lutz "Oh, Myne's went into her unstoppable mode again"
Mark "Looks like Danna-sama will be losing this one"
And yes, they opened Italian restaurant in the end which include things like soft and fluffy bread made with yeast.