Add documentation for new NRGkick integration

[andijakl]

Proposed change

Documentation for new NRGkick integration.

Type of change

• Spelling, grammar or other readability improvements (current branch).
• Adjusted missing or incorrect information in the current documentation (current branch).
• Added documentation for a new integration I'm adding to Home Assistant (next branch).
  • I've opened up a PR to add logos and icons in Brands repository.
• Added documentation for a new feature I'm adding to Home Assistant (next branch).
• Removed stale or deprecated documentation.

Additional information

• Link to parent pull request in the codebase: Add NRGkick integration and tests core#159995
• Link to parent pull request in the Brands repository: Add nrgkick icons brands#8877
• This PR fixes or closes issue: fixes #

Checklist

• This PR uses the correct branch, based on one of the following:
  • I made a change to the existing documentation and used the current branch.
  • I made a change that is related to an upcoming version of Home Assistant and used the next branch.
• The documentation follows the Home Assistant documentation standards.

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[Copilot]

Pull request overview

This PR adds comprehensive documentation for the new NRGkick integration, which enables Home Assistant users to monitor and control NRGkick Gen2 mobile EV chargers. The integration uses the local REST JSON API for direct device communication without requiring cloud connectivity.

Key Changes

• Complete integration documentation following the standard Home Assistant documentation structure for integration pages
• Detailed setup instructions including prerequisites, discovery process, and configuration options
• Comprehensive coverage of supported devices, functionality, troubleshooting, and known limitations

[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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[andijakl]

Thanks for the review comments and the direct change suggestions! I've also added the list of sensors (structured in the same way as the vendor's API documentation), looks good for me in the documentation in the dev container - even though it's a lot of info.

[c0ffeeca7]

found some more nits.

[c0ffeeca7]

Thank you, @andijakl 👍