While my extra energy sources have allowed storage of the chains and oil, I believe the roadblock really is gears.
I've been splitting energy between the event and my kingdom pretty evenly, so my extra energy hasn't helped me progress in the event. It has allowed me to collect from my high coin items and trade ticket givers. The only reason I have 8 gears in storage currently is because I made the goggles. Once I collect the last two goggles, I will be waiting on gears to make blocks and beams.
I should make it, "just" 23 more of each.
My strategy on the step for goggles is
1. Make the goggles when my iron ore is above 70. Remember only 8 needed.(Done)
2. Collect chains from iron rich rocks. (Now can buy the cheaper rock outcroppings since goggles are done
3. Collect from robot birds until I have 8 metallic feathers. (Done)
4. Collect from robots as close to every 90 minutes as possible.
5. make the flying machines and flight suit once I have 21 each of the beams and blocks, so then I only need 15 beams and blocks and should have gears to make a few before the next steps.
For me, this will make the end of the event less stressful, knowing I really only need gears, oil and chains.
Metallic feathers I was in the lucky camp, as I got 3 from each of my first 2 collections (all 5 birds purchased) and then only needed to collect from 3 more birds to get the last 2.
Gears, I average 2 per collection and sometimes get 3.