Ambitious Augmenter

Whenever you cast a spell, check the amount of mana you spent to cast it against the power and toughness of the creature with increment. If the amount of mana you spent isn't greater than either of that creature's stats, increment won't trigger at all.

Ambitious Augmenter's last ability doesn't cause you to move counters from Ambitious Augmenter onto the Fractal token. Rather, you put the same number of each kind of counter Ambitious Augmenter had when it died onto the Fractal token.

In some unusual cases, you may end up putting the appropriate counters on more than one permanent. For example, if you control The Ozolith (a card from the Ikoria: Lair of Behemoths set) when Ambitious Augmenter dies, you'll put the appropriate number of each kind of counter onto both The Ozolith and the Fractal token.

Ambitious Augmenter's last ability puts all counters that were on it onto the Fractal token, not just its +1/+1 counters.

When comparing the mana spent to the creature's stats as the increment ability resolves, it's possible that the stat that is less than the mana spent changes from power to toughness or vice versa. For example, say you control a 1/3 creature with increment and you pay two mana to cast a spell. Since the amount of mana you spent is greater than the creature's power, increment will trigger. While the increment ability is on the stack, an effect gives the creature with increment +2/-2, making it a 3/1. When the increment ability resolves, the creature will still get a +1/+1 counter since the amount of mana you spent is greater than that creature's toughness.

An increment ability will only trigger if the permanent it's on is a creature. Similarly, if the permanent is no longer a creature when its increment ability resolves, the ability won't do anything.