What is the ruling on the prayer of one who listened to the sermon without ablution, and performed tayammum using the carpet because he was unable to exit, then prayed the Friday prayer?

You intentionally erred by praying without ablution, and tayammum was not sufficient for you; rather, it was obligatory for you to go out and perform ablution. Do not enter into prayer without ablution for any justification. You must repent to Allah and repeat this prayer.