total destruction (core from expansion)
Ongoing : All Singles inn your tableau have "Flip : Choose and flip another card in any tableau."
the card that already has a flip?
1. can use both
2. Use only what the card originally had
3. change to "Flip : Choose and flip another card in any tableau."
Flip is a triggered ability, not an action.
So, Total Destruction would give each single the new text and when that card gets flipped through some other means, it will trigger both it's original flip triggered ability as well as the one granted by Total Destruction.