Oh!! Thank you for checking out my game! Glad you liked the concept, that's exciting to hear! (I'm more versed as a visual artist than a designer, despite caring about design)
Honestly I don't know what else to do with the lamp if I was to build on the game's concept, except for making a segment where you construct the lamp with additional materials? The lamp being a feature that carries on in the game would constitute a full game around this concept and I don't have much ideas for that unfortunately!
IDK, my thought was "what would a giant in the sky's living room look like?" Maybe you could decorate his living room or house after making the lamp or other household objects?
Like why am I making a lamp out of giant objects? Is it a homesick genie? Giant from jack and Bean stalk is a kleptomaniac? So many unanswered questions!