Adds new integration [silenthooligan/localsky-hacs]

[silenthooligan]

Checklist

• I've read the publishing documentation.
• I've added the HACS action to my repository.
• (For integrations only) I've added the hassfest action to my repository.
• The actions are passing without any disabled checks in my repository.
• I've added a link to the action run on my repository below in the links section.
• I've created a new release of the repository after the validation actions were run successfully.

Links

Link to current release: https://github.com/silenthooligan/localsky-hacs/releases/tag/v0.6.1
Link to successful HACS action (without the ignore key): https://github.com/silenthooligan/localsky-hacs/actions/runs/27347986000/job/80801874793
Link to successful hassfest action (if integration): https://github.com/silenthooligan/localsky-hacs/actions/runs/27347986000

[hacs-bot]

Remove "HACS" from your repository name. Repository names cannot contain "HACS" to avoid confusion with the official HACS project. Please rename your repository and update this PR.

[silenthooligan]

The repository has been renamed to silenthooligan/localsky-ha (dropping "HACS" per the review) and this PR's entry is updated to match. All checks are green. Ready for re-review, thank you.

[hacs-bot]

Add required repository links to the PR description. Found 0 link(s), but 3 are required for integration repositories. Please add links to the repository's latest release and CI action runs, then submit a new PR.