Let me quick reconstruct the era because what else are stans for?
1. Crazy Kids (September 2012)
They REALLY should've done this

It was literally the perfect comeback song.
2. Die Young (January 2013)
Let it rise on radio, drop the video a little further into it, like in late February (around now).
3. Supernatural (April 2013)
Perfect to coincide with her new show, plus it's perfect for spring

And the electronic trend.
4. Last Goodbye (August 2013)
This would leave people shocked, and even if it DID flop, it'd flop with dignity and justice
This would've seriously been so flawless

Maybe replace LG with C'Mon, since it'd have fared
better in the summertime and AFTER Ke$ha had sure hits with the other 3.
If we just had to choose a different second single, I reaaaaaally think RCA should've pushed Thinking of You
after Die Young. It was the best selling song from Warrior (clearly a good sign) and was more representative
of what Ke$ha was telling everyone she wanted the album to be... plus, the new sound could've done her good.
What do y'all think?