feat: Move the Starlette context middleware to the front (#1812)

src/fastmcp/server/http.py

@@ -3,7 +3,7 @@ from __future__ import annotations
 from collections.abc import AsyncGenerator, Callable, Generator
 from contextlib import asynccontextmanager, contextmanager
 from contextvars import ContextVar
-from typing import TYPE_CHECKING
+from typing import TYPE_CHECKING, Union
 
 from mcp.server.auth.middleware.bearer_auth import RequireAuthMiddleware
 from mcp.server.lowlevel.server import LifespanResultT
@@ -113,7 +113,7 @@ def create_base_app(
         A Starlette application
     """
     # Always add RequestContextMiddleware as the outermost middleware
-    middleware.append(Middleware(RequestContextMiddleware))
+    middleware.insert(0, Middleware(RequestContextMiddleware))
 
     return StarletteWithLifespan(
         routes=routes,