Docs: align README with Home Assistant Apps terminology

[tomquist]

Updates README wording to match Home Assistant rename to Apps (formerly known as add-ons). Replaces user-facing mentions of "add-on" / "Add-on Store" with "app" / "App Store" in the Home Assistant quick-start sections, keeping everything else unchanged.

Summary by CodeRabbit

• Documentation
  • Updated README to reflect current product naming conventions throughout the documentation.

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Walkthrough

Documentation-only update replacing "add-on" terminology with "app" throughout the README, including references to App Store and installation instructions. No functional changes or logic modifications.

Changes

Cohort / File(s)	Summary
Terminology Update README.md	Systematic replacement of "Home Assistant add-on" with "Home Assistant app" and "add-on" with "app" across all sections, including App Store references and related phrasing.

Estimated code review effort

🎯 1 (Trivial) | ⏱️ ~3 minutes

🚥 Pre-merge checks | ✅ 3

✅ Passed checks (3 passed)

Check name	Status	Explanation
Description Check	✅ Passed	Check skipped - CodeRabbit’s high-level summary is enabled.
Title check	✅ Passed	The title accurately describes the main change: updating README terminology from 'add-on' to 'app' to align with Home Assistant's official terminology shift.
Docstring Coverage	✅ Passed	No functions found in the changed files to evaluate docstring coverage. Skipping docstring coverage check.

_{✏️ Tip: You can configure your own custom pre-merge checks in the settings.}

✨ Finishing touches

🧪 Generate unit tests (beta)

• Create PR with unit tests
• Post copyable unit tests in a comment
• Commit unit tests in branch docs/ha-apps-terminology

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[coderabbitai]

Actionable comments posted: 1

🤖 Fix all issues with AI agents

In `@README.md`:
- Around line 16-19: The fenced code block in README.md (the block that contains
the repository URL in the "Add this repository to your Home Assistant App Store"
section) is missing a language tag which triggers markdownlint MD040; update
that fenced code block to include a language identifier (for example change ```
to ```text) so the block becomes a labeled code fence and satisfies the linter
while preserving the URL content.