Update src/mcp/server/fastmcp/server.py

Co-authored-by: ihrpr <inna.hrpr@gmail.com>

Author: tim-watcha

src/mcp/server/fastmcp/server.py

@@ -603,7 +603,7 @@ def sse_app(self, mount_path: str | None = None) -> Starlette:
         from starlette.routing import Mount, Route
 
         # Update mount_path in settings if provided
-        if mount_path:
+        if mount_path is not None:
             self.settings.mount_path = mount_path
 
         # Create normalized endpoint considering the mount path