refactor: reorganize message handling for better type safety and clarity (#239)

* refactor: improve typing with memory stream type aliases

Move memory stream type definitions to models.py and use them throughout
the codebase for better type safety and maintainability.

GitHub-Issue:#201

* refactor: move streams to ParsedMessage

* refactor: update test files to use ParsedMessage

Updates test files to work with the ParsedMessage stream type aliases
and fixes a line length issue in test_201_client_hangs_on_logging.py.

Github-Issue:#201

* refactor: rename ParsedMessage to MessageFrame for clarity

🤖 Generated with [Claude Code](https://claude.ai/code)
Co-Authored-By: Claude <noreply@anthropic.com>

* refactor: move MessageFrame class to types.py for better code organization

🤖 Generated with [Claude Code](https://claude.ai/code)
Co-Authored-By: Claude <noreply@anthropic.com>

* fix pyright

* refactor: update websocket client to use MessageFrame

Modified the websocket client to work with the new MessageFrame type,
preserving raw message text and properly extracting the root JSON-RPC
message when sending.

Github-Issue:#204

* fix: use NoneType instead of None for type parameters in MessageFrame

🤖 Generated with [Claude Code](https://claude.ai/code)

* refactor: rename root to message

src/mcp/server/session.py

@@ -42,14 +42,15 @@ from typing import Any, TypeVar
 
 import anyio
 import anyio.lowlevel
-from anyio.streams.memory import MemoryObjectReceiveStream, MemoryObjectSendStream
 from pydantic import AnyUrl
 
 import mcp.types as types
 from mcp.server.models import InitializationOptions
 from mcp.shared.session import (
     BaseSession,
+    ReadStream,
     RequestResponder,
+    WriteStream,
 )
 
 
@@ -76,8 +77,8 @@ class ServerSession(
 
     def __init__(
         self,
-        read_stream: MemoryObjectReceiveStream[types.JSONRPCMessage | Exception],
-        write_stream: MemoryObjectSendStream[types.JSONRPCMessage],
+        read_stream: ReadStream,
+        write_stream: WriteStream,
         init_options: InitializationOptions,
     ) -> None:
         super().__init__(