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 to the right notch after the wallkick to ledgegrab
While in the air during the long jump, press c-right twice then R + c-down. After landing, press c-right twice, then single jump + R when at the edge of the platform