Good news, I found BOTH brass springs under my desk! I can't believe it. I'll try installing it tomorrow, being extra careful not to grab it by the sides with the tweezers (I think this is what sends them flying)
New movement came in, based on the ETA 2824-2 workhorse movement. I was not ready for how small it is! Here it is compared to what I've been working on. I resized the image to approximate real dimensions at arm's length. If you're viewing on a monitor with proper DPI it should be about the same on your screen. If you're viewing on a phone, get off the toilet and get back to work!: