Impetuous = R Destroy one fondation: After your opponent plays an ability printed on a non-Character card in their staging area, destroy that card

Taking The Bait = F add this card to your card pool: Your attacks this turn get -1 difficulty and + 2 damage. your opponents cards do not count towards progressive difficulty for the rest of this turn. when you clear your card pool, discard this card.

Does impetuous destroy taking the bait and stop it's effects, if I destoy one of my fondations?

No... and no.

Impetuous does not say cancel the effects. It just says destroy a card in the staging area.

Additionally, taking the Bait's F adds it to the Card Pool, so it's no longer in the staging area to be targeted by Impetuous.

To note: the reason Taking the Bait dodges destruction from Impetuous (and by extension Superiority) is because the cost of the ability adds it to the card pool, so by the time Impetuous responds, the card has already left the staging area. You can effectively only destroy cards in a staging area, so once it's in the card pool, it's ineligible to be destroyed.