Modify climate turn_on/off backwards compatibility check

[gjohansson-ST]

Proposed change

Modified the behavior of the backwards compatibility check for climate TURN_ON and TURN_OFF feature flags

• Integrations can say it has already implemented accordingly by setting _enable_turn_on_off_backwards_compatibility to False
• If turn_off method is set by integration it will add the feature flag TURN_OFF
• If turn_on method is set by integration it will add the feature flag TURN_ON
• If hvac modes >= 2 and one is off then both feature flags will be added
• Otherwise feature flags are not added and methods can not be used.

Initial implementation in #101673

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:

Checklist

• The code change is tested and works locally.
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• There is no commented out code in this PR.
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• 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

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[home-assistant]

Hey there @home-assistant/core, mind taking a look at this pull request as it has been labeled with an integration (climate) you are listed as a code owner for? Thanks!

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[emontnemery]

Thanks @gjohansson-ST 👍

[emontnemery]

Thanks, @gjohansson-ST 👍

[emontnemery]

We should add a test for this, but let's do it in a follow-up PR.