Just a little map of the Disputed Lands to introduce some of the locations which were mentioned in chapter 57.
As you won't be surprised, Cittadella, Monforte, and Sanguinetto have opened their gates to Myr, recognising how hopeless the situation is for Tyrosh.
The Tyroshi secure possessions by now depend mostly on their two 'Gates to the Disputed Lands', Kyrenia and Famagusta.
These are fortified cities, and they help Tyrosh administer and control a lot of the western coast and beyond. If they hold, the Archon may be able to salvage something from the disaster. If they don't, it's game over for this Free City.