Use an eager task in the update coordinator scheduled refresh

[bdraco]

Proposed change

We have a lot of places that will not suspend because the refresh function decides it does not need to update. Currently these have to be scheduled on the event loop even though they are a noop.

Since _handle_refresh_interval is subclassed in some integrations, I created a dunder wrapper function to avoid integraions subclassing it

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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• The code change is tested and works locally.
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[bdraco]

Test failures are all because the patching it too late afaict.