EasyAuth returns 403 forbidden

I have made some changes to try use EasyAuth instead of function key. Copilot suggested using the same app registration so that has been my main attempt. I get everything working except at the very end, it returns 403 when trying to get the list of MCP tools after getting authenticated. The error in the function app:
```
2025-07-18T21:54:34Z [Information] Authorization failed. These requirements were not met:
Handler assertion should evaluate to true.
2025-07-18T21:54:34Z [Information] Executing ForbidResult with authentication schemes (WebJobsAuthLevel, Bearer).
2025-07-18T21:54:34Z [Information] AuthenticationScheme: WebJobsAuthLevel was forbidden.
```

I also made changes to persist the ClientInfo by adding http endpoints to store and fetch the client information. These http endpoints are in the same function app and they do not get rejected. Why do only the MCP endpoints fail the authentication scheme with the exact same token?

まず、ClientInfo の保存と取得に使用される HTTP エンドポイントと MCP エンドポイントの認証を比較し、次に tools-list リクエストを再現して、表示された function-app の認可ログを確認します。同じトークンが MCP リクエストで受け入れられ、WebJobsAuthLevel forbid レスポンスが返されなければ完了です。

索引モデルが issue の本文から書いたものです。