An Alternative Method
After you finish Step 2, you can skip steps 3-7.
Instead, you can use the tools from steps 8, 9, and 10 to rotate all the centers, move the corners around, and then rotate the corners.
If you take this approach, there are some new interesting situations that come up in each step.
For example, in step 9, the trick is to pick two opposing colors and try to sort into those first. Then you can position on each side independently.
The same approach works for rotating the corners.
At this point, I’m not sure which method is faster. Making the clover and then destroying it as you build up the bottom layer seems wasteful.
I’ve also flirted with the idea of skipping step 2 and resolving face parity issues as they come up, but I think that’ll prove to be a bigger headache.