Remove Flick Electric integration

[ZephireNZ]

Proposed change

Removes the flick_electric integration which is no longer functional.

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: Remove Flick Electric integration core#155469
• Link to parent pull request in the Brands repository:
• 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.

[home-assistant]

It seems that this PR is targeted against an incorrect branch since it has a parent PR on one of our codebases. Documentation that needs to be updated for an upcoming release should target the next branch. Please change the target branch of this PR to next and rebase if needed.

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[Copilot]

Pull Request Overview

This pull request removes the Flick Electric integration documentation from the Home Assistant website. The integration, which provided power pricing information for Flick Electric customers in New Zealand, is being completely removed from the documentation along with its CODEOWNERS entry.

Reviewed Changes

Copilot reviewed 2 out of 2 changed files in this pull request and generated no comments.

File	Description
source/_integrations/flick_electric.markdown	Removes the complete integration documentation page (124 lines)
CODEOWNERS	Removes the code ownership entry for @ZephireNZ