Fix: avoid uncessary retries in OAuth authenticated requests

[keurcien]

Motivation and Context

Tried to connect an MCP client to Notion's MCP client (more info here: #1204)

How Has This Been Tested?

Using a local script wrapping this code snippet:

async with streamablehttp_client("https://mcp.notion.com/mcp", auth=oauth_auth) as (read, write, _):

    async with ClientSession(read, write) as session:
        await session.initialize()
        tools = await session.list_tools()
        print(f"Available tools: {[tool.name for tool in tools.tools]}")
        resources = await session.list_resources()
        print(f"Available resources: {[r.uri for r in resources.resources]}")

        tool_result = await session.call_tool(name="search", arguments={"query": "John Doe"})

Now list_tools(), list_resources() and call_tool() run instantly.

Breaking Changes

No

Types of changes

• Bug fix (non-breaking change which fixes an issue)
• New feature (non-breaking change which adds functionality)
• Breaking change (fix or feature that would cause existing functionality to change)
• Documentation update

Checklist

• I have read the MCP Documentation
• My code follows the repository's style guidelines
• New and existing tests pass locally
• I have added appropriate error handling
• I have added or updated documentation as needed

Additional context