Really solid jam entry! Took me a couple tries to get into the flow of things, and it was still tough even once I did, but eventually got a pretty good run going, and it was really fun trying to keep everything in balance! The gate sizing is a really clever implementation of your mechanic!
Only real thing I felt was missing was some sort of feedback once you pressed the button so it was primed for a robot to eventually make its way over. Otherwise, really good stuff overall!