There are several things you will need before you can even start the process of breeding beasts.
Now that you know the pre-reqs, lets next look into what you will need to perform a SINGLE beast incubation.
The final basic part of Incubation is the process itself. It is quite simple and really just involves patience. That said, you will do the following:
Side note! Do NOT release a beast until it is level 50 if you wish to keep it's purities and improve them, however if you wish to remove purities (for example XP penalty) you can release them at level 1 and it will wipe all purities back down to 0%.
Now, the more complex side that most of you are probably interested in if you're bothering to read this...
Mutating a beast into another is a very lengthy and RNG based system. It is not for the feint of heart and I am telling you now, it is painful. You could attempt a beast mutation one time and luck out and get what you're after, or you could spend 5 whole months attempting three times every three days to mutate something and never get what you're after.
That said, if you're willing to put up with that I'll explain everything you need to know.
FIRST! You will follow all of the steps listed above, that process is all the same, the difference comes in based on what you're working towards. For then entirety of this explanation we will be attempting to make an Allosaurus (Because it's the most complicated and bless your soul if you go after one...)
First things first you will need access to the design bible, found here: https://docs.google.com/spreadsheets/d/1uzF7rtXXUaxBS_8cZb83M_9I2bMma6WBOFRkgDY5PP0/edit#gid=207006097
Within the Bible you will navigate to the "Beasts Lookups" tab, this is where you will find all information you need for mutating beasts.
Within the Beasts Lookups, scroll over and down towards cell M66 (Bearbug), this is the start of the list of mutated beast requirements. As we are after the Allosaurus, we'll scroll down to row 89. In column C you will find the name of the base creature DNA that you will need. In this case we will need the DNA of a Valley Cairnmog Alpha.
Now we will scroll back over to columns X-AD (or O-U if you're after a beast in the Mutation 1 section), these will contain all info we need to know for the mutation of our dinosaur.
X-Z, "Mutation 2 Layse Color", "Mutation 2 Isomerase Color", and Mutation 2 Hydrolase Color" are going to list the color of each Enzyme that you will be required to have
AA-AC, "Mutation Layse Count", "Mutation 2 Isomerase Count", and "Mutation 2 Hydrolase Count" will list the required number of the listed colors in X-Z. So in this example, we will need ONE black lyase enzyme, ONE green Isomerase, and ONE orange hydrolase. It does not matter which day or what they're mixed in with on that day, so long as by the end of the three phases you have pumped them in at some point.
AD, finally the painful one: "Mutation 2 Days" Yes this is what you might be thinking it is, a specific day of the week you will be required to END your three day phase on. That's right, for some mutations you need to make sure it ends on the correct day (NOT WHEN YOU HIT COMPLETE, WHEN IT FINISHES PHASE 3). For the Allosaurus we need to end our third phase on a Wednesday!
Days are as you imagine: M: Monday, T: Tuesday, W: Wednesday, R: Thursday, F: Friday, S: Saturday, U: Sunday.
Now that we have all that info... we're not done yet, because there's a MASSIVE hidden trap we might not have spotted! If we turn our attention from columns V-AD and look to the left at M-U, you will notice that the Orrey (which shares the same start DNA as the Allosaurus) doesn't have any listed requirements. What that means is, no matter how hard we try to make the Allosaurus and with all the correct enzymes and on the correct day, there is always a chance we could make an Orrey instead. Once a beast mutates, we cant mutate it again, so it is advised if you're going after a mutation that shares the same base DNA with something without any requirements that you dont try and get the stats high until AFTER you've confirmed that mutation.
Finally, we will take all this information we've gathered from the Bible and apply it to the incubation method listed above.
We will start by plugging in our Alpha Cairnmog DNA. Then we will make sure to use one black lyase, one green Isomerase, and one orange hydrolase during the process. The remaining six enzymes can be of whatever other colors, it does not matter. And finally, since our end day is a Wednesday and we know we wont miss a single day, we'll begin our first phase on a Sunday.
WOOPS! We forgot about starting phase 2 on Monday! What do we do?!
Sadly since our target mutation needs to happen on a very specific day, that means we need to wait an entire IRL week until the following Monday to continue our process. Remember, it's when the final phase ends, NOT when we click complete that it triggers.
As I stated earlier, there is a solid chance we wont get what we're after on the first attempt. It could take many many attempts, but as long as you keep working... Eventually one day RNG will give you what you want.
We'll start with enzymes. There are three different types of enzymes and they all come from different PvE activities:
Isomerase: You've no doubt seen these, they drop from pretty much every enemy npc, I wont say ALL enemy npcs, but most. Very easy to find, you've probably trashed a bunch already.
Hydrolase: These come from gathering any plant around the server. Trees, Fiberplast, Veggies... These all can drop Hydrolase. Very easy to find if you have Gathering ranks.
Lyase: If you are not a pilot, you wont have ever seen these drop but if you are you still might not have seen them. Why? Because they come from mining asteroids in space, harvest some space rocks and you'll eventually find these guys (also highest sale demand wink wink)
We know where to find them now, but do the colors mean anything? Why yes they do! Different colors are needed for different mutations (as stated above) but they also come in different rarities. You've likely found far more blue isomerase than you care to ever see again, but maybe you've never seen a yellow... I dont have specific numbers, but the rough idea of rarity for each enzyme are the following in ascending order (common -> rare):
Isomerase: Blue and Green -> Orange -> Red -> Yellow
Hydrolase: Blue -> Orange -> Red -> Purple -> White
Lyase: Blue and Green -> Orange -> Red -> Black
Now let's talk purities. Every enzyme will have randomly rolled purity stats, somewhere between 0.1 and 9.9 (maybe 10?) the importance of the purity really comes down to the individual breeder's needs for whatever they're making. That said, there are certainly some stats that are more important to others, and a single one that can immediately make a good enzyme into vendor trash... From highest demand to least, it's usually something like: Mutation > Learning > Attack > Evasion > Accuracy > Phys Defense > Everything else.
For incubation, do note that a purity can not be increased by more than 10% per phase. Which means if you have all the perfect Attack enzymes in the world, you cant exceed a 30% increase through the entire incubation process. The only exception being mutation chance, which can be increased further by the Erratic Genius perks.
The one purity that can kill an enzyme however is XP penalty, as that is a malus and not a boon like all the others. So be aware, if you're trying to sell enzymes, xp penalty is BAD 💀
Also side note, Learning increases the max XP a beast can gain. At 100% purity and with dedication aura on, a beast can earn over 4k xp a kill for things above it's level.
NOTE: The sizes are not accurate in the images for all beasts, just the visial model.
https://drive.google.com/file/d/1HtNL4eUAsZykPol4gUzFUA_1S_pC6-ge/view?usp=sharing