It's not some NASA-grade moon rover motor, lol, so don't let it intimidate you. It's an internal combustion engine like most out there.I am not familiar with Rotax engine and how it works
https://www.amazon.com/Carb-Bombardier-Traxter-Carburetor-PD33J/dp/B07PTP37NV
Looking at mine the Mikuni name is cast into the body just above the float bowl in your top photo. There is a diaphragm cover with 2 Phillips screws above the logo. If you look at the carb in the amazon link above it is a 90% chinese copy that has NO markings in the same location. If you pull your carb off another way to tell will be the throttle plate on the engine side will have a number and symbol on the plate as well. the symbol is the Mikuni mark and it looks like a small box with another marking inside the box.
The chinese amazon carb is a good looking copy I would in no way expect it to work the same out of the box.