Add mode selector to Twinkly

[sVnsation]

Proposed change

Added a mode selector to the Twinkly integration that allows controlling the device mode through a select entity.

• color
• demo
• effect
• movie
• off
• playlist
• rt

The implementation:

• Uses TwinklyCoordinator for state management
• Adds a new select entity for mode control

Just like suggested from @frenck in this #83023 (comment)

Type of change

• New feature (which adds functionality to an existing integration)

Additional information

• This PR fixes or closes issue: fixes Twinkly integration disabling playlist on state change #73336

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.

If user exposed functionality or configuration variables are added/changed:

• Documentation added/updated for www.home-assistant.io Document operation modes for Twinkly integration home-assistant.io#36567

To help with the load of incoming pull requests:

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

[home-assistant]

Hey there @dr1rrb, @RobBie1221, @Olen, mind taking a look at this pull request as it has been labeled with an integration (twinkly) you are listed as a code owner for? Thanks!

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[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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[abmantis]

Thank you!