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Well... you forgot that higher card counts sets have cheaper booster packs. Subtotal it is the very same you need to spend.
Lets say you have a set of 6 cards. 3 cards will drop and you need exactly one booster pack to finish it. The booster pack costs 1000 gems to craft.
Now lets say you have a set of 12 cards. 6 cards will drop and you need 2 booster packs to finish. Each booster pack for a 12 cards set costs 500 gems so you would spend 1000 gems in total.
The overall price to finish the set stays the same even if it was 100 cards per set since then the booster pack would cost 60 gems because it is a hard-coded formula to calculate the amount of gems needed: 6000 divided by the number of cards needed.
As well as it is a hard-coded formula to calculate the amount of drops: the amount of cards needed divided by 2 and ceiled