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They'd have to store one for each level and possible ability combinations.
I don't know enough about Pokémon to even try and guesstimate that number.
It's even more than that since you can improve attacks with more AP, two Pokémon of the same level can also have wildly different stats depending on different factors, there are also genders, passive abilities, etc.
Also what about legendary Pokémon? Are they having hundreds of different versions of literal gods in each of those?
Probably those are generically engineered blueprint Pokemon, which they can quickly adjust to lvl and settings
Could be, but once you start involving genetic engineering, you probably can also just heal the Pokémon.
It probably just boiles down to costs. Our economy mostly favors reproducing over repairing.
Functionally, what's the difference between "healing" a Pokemon vs. using their genetic makeup and organic matter to biologically 3d print a fully healthy clone?
Everything is a ditto
nothing gets past the council of pedants!
Not to mention name?
There is a giant factory breeding operation going behind the scenes.
Why else do you think they can afford to serve Slowpoke tail in restaurants?
You realise that this game is fiction, right?
You sound really fun.