This second part of the event is a bit less low key, as in there seems to be no tasks that characters can do to get cogs. bells etc. It's all based on tapping elves.
I am collecting the new items pretty quickly, but there is a large gap between number 2 and 3 so I'll be stuck on that for a day or so. They are quite generous with the cogs. Already on level 6 and I only got the Control centre yesterday morning!