It is best described here:
- Pressed happens when you press the key down
- Released happens when you release the key
- Tapped happens when you press and then release the key reasonably quickly.
- Tapped once happens when you press and then release the key reasonably quickly, and you didn't just do that previously.
- Tapped twice happens when you press and then release and then press and then release the key reasonably quickly (and not for the third or more time).
As described in the linked post, if Tapped Thrice will trigger a macro, then so would any macro triggered by Released or Tapped, since they all happen on the third release.
Keyboard Maestro is not prescient. So it does not know when you press a key the first time, whether you are going to tap it or hold it down for a long time, or tap it three times quickly. If you want to behave differently in those different circumstances, then you need to have a macro that does not fire any effective actions at all until some later time when it know what you did in fact do. This is what the macros @JMichaelTX originally mentioned in the first response of this topic do - they detect the initial press and then wait and then decide what to do later.