Add binary sensor platform to eq3btsmart

[EuleMitKeule]

Proposed change

This PR adds binary sensor entities to the eq3btsmart integration, which allow the user to gain more insight about the state of their eQ-3 Bluetooth Smart Thermostat devices.

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 #
• This PR is related to issue:
• Link to documentation pull request: Add binary sensor platform to eq3btsmart home-assistant.io#35698

Checklist

• The code change is tested and works locally.
• Local tests pass. Your PR cannot be merged unless tests pass
• There is no commented out code in this PR.
• I have followed the development checklist
• I have followed the perfect PR recommendations
• The code has been formatted using Ruff (ruff format homeassistant tests)
• Tests have been added to verify that the new code works.

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• Documentation added/updated for www.home-assistant.io

If the code communicates with devices, web services, or third-party tools:

• The manifest file has all fields filled out correctly.
  Updated and included derived files by running: python3 -m script.hassfest.
• New or updated dependencies have been added to requirements_all.txt.
  Updated by running python3 -m script.gen_requirements_all.
• For the updated dependencies - a link to the changelog, or at minimum a diff between library versions is added to the PR description.

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• I have reviewed two other open pull requests in this repository.

[home-assistant]

Hey there @dbuezas, mind taking a look at this pull request as it has been labeled with an integration (eq3btsmart) you are listed as a code owner for? Thanks!

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[EuleMitKeule]

#130263 (comment)

This requested change leads to mypy failing with no-any-return, that's why it's not included.

[home-assistant]

Please take a look at the requested changes, and use the Ready for review button when you are done, thanks 👍

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