Remove browser-tools-api-demo that was accidentally merged (#310)

The browser-tools-api-demo was accidentally included in PR #309 which
was meant to only add zoom tool support. This commit removes the
browser-tools-api-demo directory and its reference from the README.

The browser-tools-api-demo will be submitted in a separate PR.

🤖 Generated with [Claude Code](https://claude.com/claude-code)

Co-authored-by: Claude <[email protected]>

Author: zealoushacker

README.md

@@ -26,12 +26,6 @@ An environment and tools that Claude can use to control a desktop computer. This
 
 [Go to Computer Use Demo Quickstart](./computer-use-demo)
 
-### Browser Tools API Demo
-
-A complete reference implementation for browser automation powered by Claude. This project demonstrates how to leverage Claude's browser tools API for web interaction, including navigation, DOM inspection, and form manipulation using Playwright.
-
-[Go to Browser Tools API Demo Quickstart](./browser-tools-api-demo)
-
 ## General Usage
 
 Each quickstart project comes with its own README and setup instructions. Generally, you'll follow these steps: