feat: add Homebrew installation instructions and badge to README

- Included a new badge for Homebrew installation in the README.
- Added Homebrew installation instructions for macOS users to enhance accessibility.

README.md

@@ -43,6 +43,9 @@
   </a>&nbsp;&nbsp;
   <a href="#docker--standalone-deployment">
     <img src="https://img.shields.io/badge/Docker-Deploy-2496ED?logo=docker&logoColor=white&style=flat" alt="Deploy with Docker" height="30" />
+  </a>&nbsp;&nbsp;
+  <a href="#installation">
+    <img src="https://img.shields.io/badge/Homebrew-Install-FBB040?logo=homebrew&logoColor=white&style=flat" alt="Install with Homebrew" height="30" />
   </a>
 </p>
 
@@ -62,6 +65,14 @@
 
 ## Installation
 
+### Homebrew (macOS)
+
+```bash
+brew install --cask claude-devtools
+```
+
+### Direct Download
+
 | Platform | Download | Notes |
 |----------|----------|-------|
 | **macOS** (Apple Silicon) | [`.dmg`](https://github.com/matt1398/claude-devtools/releases/latest) | Download the `arm64` asset. Drag to Applications. On first launch: right-click → Open |