AssertionError: Unexpected message while using middlewares

Comece montando a aplicação Starlette mcp_server.sse_app(), usando o exemplo de CustomHeaderMiddleware e seguindo o caminho de chamada do middleware mostrado no traceback. Reproduza a falha chamando uma ferramenta por meio da aplicação SSE montada e, em seguida, rastreie as mensagens de resposta até entender a mensagem inesperada. O trabalho estará concluído quando a aplicação envolvida pelo middleware concluir a solicitação sem AssertionError.

Describe the bug
when I mount the mcp to starlette, and I use middleware to do some prechecks, I met this errors.

During handling of the above exception, another exception occurred:

Traceback (most recent call last):
File "/app/.venv/lib/python3.12/site-packages/uvicorn/protocols/http/h11_impl.py", line 403, in run_asgi
result = await app( # type: ignore[func-returns-value]
^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^
File "/app/.venv/lib/python3.12/site-packages/uvicorn/middleware/proxy_headers.py", line 60, in call
return await self.app(scope, receive, send)
^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^
File "/app/.venv/lib/python3.12/site-packages/starlette/applications.py", line 113, in call
await self.middleware_stack(scope, receive, send)
File "/app/.venv/lib/python3.12/site-packages/starlette/middleware/errors.py", line 187, in call
raise exc
File "/app/.venv/lib/python3.12/site-packages/starlette/middleware/errors.py", line 165, in call
await self.app(scope, receive, _send)
File "/app/.venv/lib/python3.12/site-packages/starlette/middleware/base.py", line 182, in call
with recv_stream, send_stream, collapse_excgroups():
^^^^^^^^^^^^^^^^^^^^
File "/usr/local/lib/python3.12/contextlib.py", line 158, in exit
self.gen.throw(value)
File "/app/.venv/lib/python3.12/site-packages/starlette/_utils.py", line 83, in collapse_excgroups
raise exc
File "/app/.venv/lib/python3.12/site-packages/starlette/middleware/base.py", line 185, in call
await response(scope, wrapped_receive, send)
File "/app/.venv/lib/python3.12/site-packages/starlette/middleware/base.py", line 223, in call
async for chunk in self.body_iterator:
File "/app/.venv/lib/python3.12/site-packages/starlette/middleware/base.py", line 169, in body_stream
assert message["type"] == "http.response.body", f"Unexpected message: {message}"
^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^
AssertionError: Unexpected message: {'type': 'http.response.start', 'status': 200, 'headers': [(b'content-length', b'0')]}

To Reproduce
Steps to reproduce the behavior:

1. mount mcp to starlette
2. use middlewares
3. call tools

class CustomHeaderMiddleware(BaseHTTPMiddleware):
    async def dispatch(self, request, call_next):
        return await call_next(request)


middleware = [
    Middleware(CustomHeaderMiddleware)
]

app = Starlette(middleware=middleware)
app.mount("/", mcp_server.sse_app())

def main():
    uvicorn.run(
        app="atlantis_mcp_server:app",
        host="0.0.0.0",
        port=8000,
        workers=1,
        log_level="info"
    )

__all__ = ["main"]

Expected behavior
Should not raise type error

Screenshots
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Desktop (please complete the following information):

• OS: [e.g. iOS]
• Browser [e.g. chrome, safari]
• Version [e.g. 22]

Smartphone (please complete the following information):

• Device: [e.g. iPhone6]
• OS: [e.g. iOS8.1]
• Browser [e.g. stock browser, safari]
• Version [e.g. 22]

Additional context
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