Fix feedreader tests broken by Python 3.14.3 asyncio changes

[mib1185]

Proposed change

• This makes Disable feedreader tests broken by Python 3.14.3 asyncio changes #169067 obsolete by fixing the tests rather than disable them.

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 Fix feedreader tests broken by Python 3.14.3 asyncio changes #169068
• This PR is related to issue:
• Link to documentation pull request:
• Link to developer documentation pull request:
• Link to frontend pull request:

Checklist

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[Copilot]

Pull request overview

Updates the feedreader integration tests to be resilient to Python 3.14.3’s asyncio executor scheduling behavior, ensuring storage writes complete before assertions run.

Changes:

• Add an explicit await hass.async_block_till_done() in the storage-writing test to flush the delayed storage save task before asserting on hass_storage.