docs: update CLAUDE.md to prioritize MCP tools for Edge Function deployment #21

- Updated deployment documentation to recommend MCP tools as PREFERRED method
- Added clear example of using mcp__supabase__deploy_edge_function
- Highlighted benefits: no manual auth, automatic project selection
- CLI method remains as alternative option
- Improves workflow efficiency for Claude Code users

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

Co-Authored-By: Claude <noreply@anthropic.com>

CLAUDE.md

@@ -551,7 +551,21 @@ When making changes:
 
 **Steps to deploy Edge Functions:**
 
-1. **Via CLI** (recommended for multiple functions):
+1. **Via MCP Tools** (PREFERRED for Claude Code):
+   ```
+   Use mcp__supabase__deploy_edge_function with:
+   - name: function name (e.g., "trigger-sync", "api", "oauth-shopify")
+   - files: array of files with name and content properties
+
+   Example:
+   mcp__supabase__deploy_edge_function(
+     name: "trigger-sync",
+     files: [{"name": "index.ts", "content": "..."}]
+   )
+   ```
+   **Benefits**: No manual authentication, automatic project selection, works directly in Claude Code
+
+2. **Via CLI** (alternative, requires manual authentication):
    ```bash
    # Deploy a specific function
    supabase functions deploy <function-name> --project-ref ztklqodcdjeqpsvhlpud
@@ -560,11 +574,6 @@ When making changes:
    supabase functions deploy oauth-woocommerce oauth-shopify api --project-ref ztklqodcdjeqpsvhlpud
    ```
 
-2. **Via MCP Tool** (for Claude Code):
-   ```
-   Use mcp__supabase__deploy_edge_function with the function files
-   ```
-
 3. **Verify deployment**:
    - Check version number increased using `mcp__supabase__list_edge_functions`
    - Review logs using `mcp__supabase__get_logs(service: "edge-function")`