Yes, you need to use a constraint for each affected teacher. There is no shorter way, unfortunately. I wanted this constraint to be as universal as possible, that is why.
Please read the help in the constraint dialog (press the Help button). There is an explanation exactly for this requirement (to make a teacher work in a specified interval).
The selected slots will be all days without Tuesday, and you must ensure that in these selected slots the teacher has maximum n-1 of his activities.
If you still cannot succeed, I will explain some more and give you an example.