The hitboxes of the elevators' axles do not line up with their visual models; you may encounter issues with them if you're going for early cycle or miss four cycles. These clips show the hitboxes' actual locations.
Punch, jump while the stick is neutral, hold up after the double jump, switch to up-left after the triple jump, then rotate the stick counterclockwise to the right notch after the wallkick.
Alternate camera setup: Press C-Right twice during the long jump, then R + C-Down. After landing, press C-Right twice, then do a single jump and hit R again at the edge of the platform.