Fix geo_re_resolve async mocks and mark tasks complete

backend/app/dependencies.py

@@ -7,7 +7,7 @@ directly — to keep coupling explicit and testable.
 """
 
 import time
-from typing import Annotated
+from typing import Annotated, Protocol, cast
 
 import aiosqlite
 import structlog
@@ -19,6 +19,13 @@ from app.utils.time_utils import utc_now
 
 log: structlog.stdlib.BoundLogger = structlog.get_logger()
 
+
+class AppState(Protocol):
+    """Partial view of the FastAPI application state used by dependencies."""
+
+    settings: Settings
+
+
 _COOKIE_NAME = "bangui_session"
 
 # ---------------------------------------------------------------------------
@@ -85,7 +92,8 @@ async def get_settings(request: Request) -> Settings:
     Returns:
         The application settings loaded at startup.
     """
-    return request.app.state.settings  # type: ignore[no-any-return]
+    state = cast(AppState, request.app.state)
+    return state.settings
 
 
 async def require_auth(