Fix the rail picker going nameless — my own regression from the row rework

Giving each project row a widget left the QListWidgetItem with no text, and
project_choices() read exactly that. So the rail's picker listed every project
as a bare "📁 " with nothing after it, and the more projects there were the more
identical blanks you got. Reported after creating a second one.

Setting the text back on the item is not the fix: with a transparent row widget
on top, the name paints twice, one string ghosting the other — visible in a
render. project_choices() now reads list_projects(), the same source the list
is built from, so the picker no longer depends on how a row happens to be drawn.

check_project_screen creates a project and requires project_choices() to return
non-empty names and the picker to show each of them. Pointing it back at
item.text() fails it.

22/22 checkers pass.

Co-Authored-By: Claude Opus 5 (1M context) <noreply@anthropic.com>

ui/workspace_tab.py

@@ -532,6 +532,8 @@ class WorkspaceTab(QWidget):
         row_to_select = 0
         for i, p in enumerate(list_projects()):
             chats, tasks = counts.get(p.project_id, (0, 0))
+            # No text on the item: the row widget paints the name, and setting
+            # both drew it twice, one string ghosting the other.
             item = QListWidgetItem()
             item.setData(Qt.UserRole, p.project_id)
             if p.description:
@@ -622,10 +624,16 @@ class WorkspaceTab(QWidget):
 
     # ---- rail integration -------------------------------------------------
     def project_choices(self):
-        """(name, project_id) for the rail picker, in the list's own order."""
-        return [(self.project_list.item(i).text(),
-                 self.project_list.item(i).data(Qt.UserRole))
-                for i in range(self.project_list.count())]
+        """(name, project_id) for the rail picker, in the list's own order.
+
+        Read from the store, which is what the list is built from — reading
+        item.text() coupled the picker to how a row happens to be drawn, and
+        when rows became widgets the picker went blank: every project showed
+        as a bare folder glyph with no name.
+        """
+        from ..core.projects import list_projects
+
+        return [(p.name, p.project_id) for p in list_projects()]
 
     def selected_project_id(self) -> str:
         return self._selected_id()