Python: Move approval storage to platform supplied durable dir

[TaoChenOSU]

Motivation & Context

Addresses #7414
Follow up to #7220

Description & Review Guide

• What are the major changes?
  • Move FHA approval storage to the platform supplied $HOME dir when hosted.
• What is the impact of these changes?
  • Files will be persisted durably now.
• What do you want reviewers to focus on?
  • The path derivation

Related Issue

Fixes #7414

Contribution Checklist

• The code builds clean without any errors or warnings
• All unit tests pass, and I have added new tests where possible
• The PR follows the Contribution Guidelines
• This PR is linked to an issue and there is no other open PR for this issue (see Related Issue above).
• This is not a breaking change. If it is a breaking change, add the breaking change label (or add "[BREAKING]" to the title prefix, before or after any language prefix) — a workflow keeps the label and title prefix in sync automatically.

[Copilot]

Pull request overview

This PR updates the Python Foundry Hosting ResponsesHostServer to root its file-backed storage (sessions, workflow checkpoints, and function approval requests) under the platform-provided durable home directory when running in hosted mode, aligning approval storage behavior with the earlier checkpoint fix.

Changes:

• Added _resolve_storage_path(...) helper to resolve hosted storage paths under $HOME (with /home/session fallback) and local paths under the current working directory.
• Updated ResponsesHostServer to use the resolved paths for checkpoint storage, session store, and file-based function approval storage (including per-user approval storage paths).
• Expanded unit tests to validate hosted vs local path derivation and fallback behavior when HOME is unusable.

Reviewed changes

Copilot reviewed 2 out of 2 changed files in this pull request and generated 1 comment.

File	Description
python/packages/foundry_hosting/agent_framework_foundry_hosting/_responses.py	Introduces shared hosted/local storage path resolution and applies it to sessions, checkpoints, and approval storage.
python/packages/foundry_hosting/tests/test_responses.py	Updates/extends tests to validate the new hosted storage rooting and fallbacks for sessions and approvals.

[github-actions]

Automated Code Review

Reviewers: 5 | Confidence: 48% | Result: All clear

Reviewed: Correctness, Security Reliability, Test Coverage, Failure Modes, Design Approach

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Automated review by TaoChenOSU's agents

[moonbox3]

@TaoChenOSU is the PR title accurate?

[TaoChenOSU]

@TaoChenOSU is the PR title accurate?

No, closing this PR because we are moving to a Foundry supplied solution