My parish also doesn’t have confessions during the Triduum. In fact, when I was in college, my then-pastor told me that, per canon law, confessions weren’t even allowed between the beginning of the Mass of the Lord’s Supper on Holy Thursday and the end of the Easter Vigil (And I’m thinking that this was probably excepting a case where a dying person is receiving Last Rites).
Now, it had been quite traditional to receive confession on Good Friday, but things changed when Pope Pius XII did the restoration of Holy Week, with what became known as the Triduum (before then, Holy Thursday, Good Friday, and Holy Saturday were simply the last 3 days of Lent - and they’re still included in the “40 days”). Now, the Triduum, really, instead of 3 liturgies, is actually one liturgy expanded over 3 days. There is no closing prayer at the end of Holy Thursday - we end with the vigil at the tabernacle of repose. Good Friday has neither a collect or a closing prayer. And the collect for the Easter Vigil does not take place until after the Gloria - which occurs after the OT readings and before the Epistle.