Google translate gives us this…
It does not open the monk set dungeon from season 22 and I already have it complete
That would be your seasonal Monk…
…which is wearing the Patterns of Justice armour set, which leads us to…
There are no set dungeons for the newest set armours, i.e.
| Class | New Set |
|---|---|
| Barbarian | Horde of the Ninety Savages |
| Crusader | Aegis of Valor |
| Demon Hunter | Gears of Dreadlands |
| Monk | Patterns of Justice |
| Witch Doctor | Mundunugu’s Regalia |
| Wizard | Typhon’s Veil |
| Necromancer | Masquerade of the Burning Carnival |
This means that in a season where the Haedrig’s Gifts grant these sets, in order to complete the Season Journey tasks for completing and mastering a Set Dungeon, this requires you to farm one of the other class sets and complete the dungeon associated with those sets.
It is not a bug that the new sets do not have dungeons associated with them. When the first of these new sets were released it was queried whether new set dungeons would be created for them. Blizzard confirmed that not only were there no new dungeons, they had no intention to create them.