At the start of the game they are primarily just dieselpunk and some runework stuff. Then over the course of the game they develop new forms of technology because they are the city of progress. Advancements are faster if the player themselves get involved with the SAI story line. The most prominent advancements are in bioengineering and integrating magic in with the machines. Eventually they discover a power source akin to nuclear fusion. They utilize this power for a short time before one individual creates the ultimate mechanical/magic fusion. This new technology revolutionizes everything and puts SAI solidly into Sci-fi/cyberpunk levels of tech.
(all super secret level)
Blink - instant teleportation.
Element 1 - Manipulate pure energy. Takes a form like many lasers and such seen throughout sci-fi (lightsabers)
Element 2 - Control individual machines directly. Physical movements indicate motions of the machine. For smaller things this means just moving hand