Tower of Tel'Adre
The Great Tower of Tel'Adre is located right in the centre of the city and it is where the Mages of the Covenant (aka the Council of Tel'Adre) reside. It is well guarded and for the most part unavailable to the general public but there are some exceptions.
Urta
At the beginning of her Fertility Quest, Urta seeks advice from Gul, one of the mages.
Library
The library in the Tower is not exactly open but not completely closed either. If you try to enter the Tower while visiting the city the guard will tell you the tower is unavailable to the public and redirect you to a side door leading to the public library where Quinn, the covenant's self-appointed librarian, tells you it is closed for restoration. However, if you go there in the evening after Quinn has left, you do get to read a book and possibly learn something useful.
Asa Mali
If you have the Inscribed Spellblade with you, either as your weapon or in your inventory, you can ask Quinn to take you to Asa Mali. Afterwards you can visit Mali whenever you like but at the moment there is no more actual content in this story thread.
If you have the spellblade in your inventory, Mali will gratefully receive the spellblade as a piece of evidence for her investigation of Dominika. If you carry it as your weapon, she won't notice it but ask you for your help to find some sort of object enhanced by Dominika. She keep asking you every time you visit until you come to her with the blade in your inventory.
Notes
- It is always Quinn who takes you to Mali, even if you visit at a time when he is supposed to have left the library!