There are plenty of steps that can be skipped, because a lot of human invention has been trial and error.

For example, I don't need much to start producing electricity than copper wire and a water wheel, and the Romans could already refine copper to the point it was conductive.

Then I can do my own induction smelting for significantly purer copper in greater volumes.

At this point electric motors and generators are just a question of materials and labor. This provides the heavy lifting needed for casting pressure vessels, so steam power with its greater portability is just around the corner.

Turns out there is some Bauxite in Italy, so aluminum is to be made, which means we have fucking Mithril in effectively the late bronze age. This itself could be a combat game changer akin to bronze replacing stone weaponry.

ithout actual teaching experience and ability in any of the fields

Well it's a good thing that I've been volunteering as a teacher for the last decade, as well as being highly technically competent, as well as having a good underlying understanding of physics and some basic chemistry.

organisations with hundreds of experienced staff and millions of dollars can't put a dent in it.

Because they are all going about it the wrong way. Everyone is because no one bothers to actually do what works instead of the most loud and powerful getting their way no matter how horrible an idea it is.

As I said, I'm setting myself up as a sorcerer, with a bagful of magic mojo that is going to change the world.

Millions of dollars doesn't change the world, the right person with the right leverage and the right idea, that's what does it.

Capitalists want you to believe this only happens with assloads of cash because they want you to catch their currency hoarding disease.

Oh, also, I'm like half a foot taller than the average Roman citizen of the time, and that counts for more than you can imagine.