Encrypted reasoning items support for OpenAI Conversation

[Shulyaka]

Proposed change

Implement Encrypted reasoning items as described in https://openai.com/index/new-tools-and-features-in-the-responses-api/ . This enables keeping reasoning items in a stateless mode with zero data retention.
More info: https://platform.openai.com/docs/guides/reasoning?api-mode=responses#encrypted-reasoning-items

Type of change

• Dependency upgrade
• Bugfix (non-breaking change which fixes an issue)
• New integration (thank you!)
• New feature (which adds functionality to an existing integration)
• Deprecation (breaking change to happen in the future)
• Breaking change (fix/feature causing existing functionality to break)
• Code quality improvements to existing code or addition of tests

Additional information

• This PR fixes or closes issue: fixes #
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[home-assistant]

Hey there @balloob, mind taking a look at this pull request as it has been labeled with an integration (openai_conversation) you are listed as a code owner for? Thanks!

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[Copilot]

Pull Request Overview

Adds support for encrypted reasoning items in the OpenAI Conversation integration to enable stateless reasoning with zero data retention.

• Updated tests to include encrypted_content in reasoning item assertions
• Modified request payload in entity.py to disable storage and include encrypted reasoning

Reviewed Changes

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

File	Description
tests/components/openai_conversation/test_conversation.py	Added encrypted_content fields to reasoning item fixtures and assertions
homeassistant/components/openai_conversation/entity.py	Always set "store": False and replace the removed branch with "include": ["reasoning.encrypted_content"]

Comments suppressed due to low confidence (1)