No one ever said a GALAXY-WIDE STERILIZATION EVENT EVER OCCURRED BUT YOU, LOL!!!
Look, I’m sorry you don’t understand this, but I have no desire or obligation to teach you what you obtusely refuse to even try to understand. The argument put forward by astronomers is a sound one and I’m not going to waste any more time trying to explain it to you.
If one didn’t occur, then probability demands that there would be life everywhere. That’s the consequence of living in a universe as immense as ours. Even a very remote probability will happen countless times.
Therefore, unless you are arguing that such events occurred, your arguments are insufficient to explain away the paradox, so you’re wasting breath anyway.