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Well, no, things are not quite like that. :)
Firstly, the Archangel deals 80 damage to the Monster, I just checked it myself. The Monster deals 49-82 damage to the Archangel. As you can see, it's not a given that it will always be 66. Where did you even get that number from?
Okay, it's not that important.
The algorithm is as follows:
1. The first turn is for the Archangel, and it waits. The Monster must either make a move or defend itself. Which, in principle, is almost the same: +3 to defense reduces damage by only 4-5 points, it seems.
In any case, the Archangel needs exactly 4 hits to defeat the Monster.
And the Monster needs at least 4 hits to win.
Therefore, after waiting for the end of the turn, the Archangel flies in and attacks the Monster.
In total, each side has made 1 attack.
2. At the beginning of the second round, the Archangel attacks again and receives a counter-attack.
In total, each side has made 2 attacks.
The Monster also attacks and, in turn, receives a counter-attack from the Archangel. Each creature has made 3 attacks.
3. In the third round, the Archangel finishes off the opponent and no longer receives a counter-attack, because its attack will be the last. :)
In general, there's a catch here. The fact is that if the Archangel immediately jumps into battle, it will die. But simply pressing the "wait" button in the first round guarantees it a 100% victory.
That's how things really are. :)