Accept new Plex websocket callback payloads

[jjlawren]

Proposed change

Relies on changes in library: jjlawren/python-plexwebsocket@v0.0.11...v0.0.12

Accepts new payloads in callbacks provided by websocket library. Allows to differentiate between connection status changes, receive the actual payload data, and know which errors may have occurred.

If an error occurs in the websocket connection the integration will reload itself and rely on the standard config flow setup fallback mechanism. Transient errors are still handled in the library, so this should be a rare event.

To go along with this reload, the logging is reduced on initial connection failures as the core logging is sufficient.

Hopefully addresses setups with not-always-up Plex servers: #39979.

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)
• 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 Plex doest respond well to server being offline...  #39979
• This PR is related to issue:
• Link to documentation pull request:

Checklist

• The code change is tested and works locally.
• Local tests pass. Your PR cannot be merged unless tests pass
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• Tests have been added to verify that the new code works.

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[Kane610]

Looks good to me