There is a special training room on the right side of the first door of Kupaine fortress, which is three times as much experience, and it seems that as long as it is super-empty, you will have the opportunity to gain experience eggs. I don't think you will get much experience. As long as you hit the level 50 wild elves, you have a great chance to get them. I met them once when I was practicing Pauker.
Today, I hatched an elf named Zaion.
Even if I hit N+ 1 times with this, I have no experience.