What is the Europa Diversity Program? it mentioned it in my pet's info.

It's a building you might find while exploring in the Desert, which allows you to swap genetic material with other players' pets without using up breeding points. You also get a small vermillion reward for using it. If you find it while exploring with a female pet, you can impregnate her and get a free baby. If you have a male pet, you can donate his genetic material to the building so that other female pets can use it. It's like a sperm bank.