So I have a question. Playing around in the generator I created something I want but it has four traits. I know using mythical I can have four points meaning two visible traits or four carried. Is there any way possible to make all four traits visible or give it the trait later with vials or whatever or is it impossible to ever get exactly want you want? I didnt know if maybe there was old vials or this and that I could do that I didnt know about. Thanks!

Only by breeding- enhanced and Mystical essences, as you noted, only give 4tp, 2v, or 1v2c, or 4c, maximum.
You can't like, combine essences for more, and Mutators cannot be used on Generated pets, only on Tamed pets, and only a maximum of one mutator per pet

This is deliberate- if you want a pet with more, you have to put in the work to obtain it, basically?
If you want a 4v based on a generated pet, you could make two sylesti with 4c and pray for really good rng to get the 25% chace roll for all 4 traits, or do a slightly larger amount of generations with slightly more essences needed (see this guide for more)
Or do a breeding project with non-essence sylesti and dye the final pair / final pet

Thank you! I thought as much but I wanted to make sure I wasnt missing anything!