Don't know if I'll be able to finish it this time... My plans regarding mechanics vs theme are still kinda vague and/or ambitious, but at least I have some kind of silly story in my head:

Yongbok works delivering food for the 5-STAR Restaurant (which may or may not be an impossible 5 star Michelin restaurant 😅). He drives a truck to a location where there will be a few houses for him to deliver these food boxes. There will be some platforming, but the more boxes you carry the heavier you are - and therefore the shorter the jumps. He would be able to throw and stack boxes, and climb on them for reaching new places or activating stuff.