I was thinking there could be a thing that you can save slots on the advanced search, for example you could save the pet search settings as Zolnixi, Level 30 or above, with visible G3 star runes and visible M3 Glowlight wings, and female. Kinda like that, so like the wardrobe slots. I find it kinda annoying and it's probably even more annoying for people who breed and have a lot of pets who are unnamed and look alike but have totally different carried/hidden traits.