Wiring three speed motor
While I can't be entirely sure, since these are mostly poorly-documented Chinese brand motors, the wiring diagram there seems to indicate that mains should be applied across the black wire and the speed wire of your choice, most likely with white being the fastest and blue being the slowest.

I'm guessing this based on two facts: black wire tends to be ground or common, and the black wire has a thermal cutoff installed, which would make sense if it's a common line.

You should just be able to apply 220-240V AC mains across those lines (e.g. neutral to black wire, live to white, yellow, or blue) and it should work. No guarantees though - I'm guessing this entirely based on the photos you provided and a similarly named product range I found online.