Fix inconsistencies in examples

Author: allenporter

examples/servers/simple-prompt/mcp_simple_prompt/server.py

@@ -106,7 +106,7 @@ async def handle_sse(request):
             debug=True,
             routes=[
                 Route("/sse", endpoint=handle_sse),
-                Mount("/messages/", app=sse.handle_post_message)
+                Mount("/messages/", app=sse.handle_post_message),
             ],
         )
 

src/mcp/server/sse.py

@@ -11,7 +11,7 @@
     # Create Starlette routes for SSE and message handling
     routes = [
         Route("/sse", endpoint=handle_sse),
-        Mount("/messages", endpoint=handle_messages, methods=["POST"])
+        Mount("/messages", app=sse.handle_post_message),
     ]
 
     # Define handler functions
@@ -23,9 +23,6 @@ async def handle_sse(request):
                 streams[0], streams[1], app.create_initialization_options()
             )
 
-    async def handle_messages(request):
-        await sse.handle_post_message(request.scope, request.receive, request._send)
-
     # Create and run Starlette app
     starlette_app = Starlette(routes=routes)
     uvicorn.run(starlette_app, host="0.0.0.0", port=port)