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It means that you should focus on one augment and its upgrade and leave the rest alone (except for a few challenges where you need upgrades to reach a high enough boss to be able to start getting enough gold for upgrades).
I'm not sure about the specifics for you since there are way too many bonuses that affect each others.
Either way, augments are only somewhat decent until you have enough gold to pump a lot of levels into both an augment and its upgrade, at that point it becomes a significantly bigger multiplier.
Maybe if you recorded a short video of it happening, we might see something that explains what's going on.
Or if you share your save, we can investigate.
When all the modifiers are multiplied together (instead of added), it's essentially the same thing.
For example, let's say the base is 10k and you have a x5 and x3 multipliers that are combined as multiplicative (x15) instead of additive (x8), then 10k x (5 x 3) is the same as (10k x 5) x 3 = 150k. Then if you add a new x2 multiplier, it does actually become 300k, even if you apply that x2 to the base 10k first, (10k x 2) x (5 x 3), is the same as 10k x (5 x 3 x 2) = 300k.
The total multiplier from augments is the sum of the individual augment multipliers. When adding multipliers together, adding a new x2 will not multiply that total by 2. If the sum was x8 before, it would be x10 after. So 10k x 8 = 80k, 10k x 10 = 100k. Adding that new x2 multiplier would not change the 80k to 160k, as Jack expected to happen with the 625.
This is why Fel mentions that the individual augment multipliers are added together. Then Jack says he only leveled the one augment, in which case the sum would have been just the one multiplier and so the attack value should have multiplied by 625.
Actually, it should have been multiplied by more than 625. The actual multiplier applied to attack/defense is (1 + sum of augment multipliers) x no augs challenge x ngu augments. This is the number that's displayed at the top of the augment screen as well as in the stats breakdown for attack/defense. (source: the code)
At a minimum, it should have multiplied by 626, but Jack said it was a lot less than 625. So without a video or the save file, we can only take guesses at what he's missing.
I was trying to show that it doesn't matter if the multiplier is applied before or after the other multipliers. By implying that if applied to the base stat before other multipliers would result in a different result than if it was applied after other multipliers is completely incorrect.
The only time a modifier applied before multipliers is different than if applied after is if it's adding a flat number instead of multiplying.
10 + 5 x 2 (30) is different than 10 x 2 + 5 (25)
10 x 5 x 2 (100) is exactly the same as 10 x 2 x 5 (100)
Notice the resulting gain is smaller if applied after. That's the whole reason it's better to add flat numbers before multipliers. Saying that you're seeing smaller gains than you expect because the modifier is applied to base stats doesn't even make sense.
Multiplying the base stat before the other multipliers makes no difference and is absolutely not what's going on here.