devtrackers.gg
All of them work for 2v2.
However quests prior to the update weren't changed. This means that if you got the quest before the update, it only works in 1v1.
If you got the quest after the update and it doesn't work in 2v2, contact support.
This is correct - just an unforeseen bug that old Quests did not update to the new conditions. Every new Quest should work in all competitive battle modes, but the old ones need to cycle out.