Mario Cam + C-down after the 2nd sideflip so you can long jump using the down-right notch to set up the fence slide. Switch back to Lakitu Cam before the star spawn cutscene
US version
The only difference vs JP is rolling out into the 5th secret (box), which although faster and possible on both versions, is not done on the Japanese version because it risks sound glitch (which would then crash the game).