So...
I've never really done a project, even though my account is at least 1,000 days old. I just never really got interested in it. But NOW I am sort of starting to rethink that. And because of that, I need tips. I already have the pets, and I can make space by releasing pets that haven't sold in my stable. (If it helps I'm going to be breeding Emperor's Dragon Zolnixis and Royal Elven Luporas.) I want to get them to max stat, just because I think it'd be cool. Because I already bought my pets the traits are fully there. I just need advice on the stats. For example, I don't know if the stats automatically go up when parents are bred together and they have the same or around the same stats or if I have to apply the philters. Also I don't remember how Punnett squares work even if we learned them in Science last year. Thank you for your help!

Stats work like this:

Parent A has str 30, parent B has str 33, offspring could get str 30, 31, 32, 33- that is, anywhere between the two parent stats. This is the same for all stats. (grove + stats are a little different but not relevant for these themes, so we'll skip that unless you want to know)

When an egg is ready to hatch, so long as you don't leave it long enough that it autohatches, you get the popup screen that gives you options:
Helping it hatch button gives it +20 HP
Let it hatch on its own button will give it +1 to any one of Str, Int, Dex, or Agi at random
Philter dropdown + use philter button will apply the selected philter and boost whatever relevant stats.

In Hatchling stage, every 8 correct nurtures will give the pet +1 to the lowest stat excluding mana (hp gets +20. This is judged by ignoring the last number of the hp, so a pet with 130HP is counted as 13 etc.)
If all five other stats are max, mana will get the +1


Punnett Squares
this guide page has more depth but in short

Each parent has two trait letters per slot, arranged in order of dominance, starting with the most dominant, N (nothing) and then going down the alphabet A>B>C>etc.
Offspring inherits one of the two at random from each parent, so parent A having G1 AB is 50/50 going to pass on either of those letters

Since you're dealing with Majestic themes you don't have to worry about Hiddens under your visible traits, it'll just be a case of empty slots, carries, and visibles

Thank you so much! I was just so confused on how the stats would work. So using a philter would be the best choice for the offspring and then getting people to nurture them? And thank you for re-explaining Punnett squares!