fix: widget build outputs to ./dist instead of sidecar public/

Prevents accidental overwrites of the working widget.js. Use
'npm run deploy' to explicitly build + copy to sidecar public/.

Co-Authored-By: Claude Opus 4.6 (1M context) <noreply@anthropic.com>

packages/widget-src/vite.config.ts

@@ -10,7 +10,7 @@ export default defineConfig({
             fileName: () => 'widget.js',
             formats: ['iife'],
         },
-        outDir: '../../helix-engage-server/public',
+        outDir: './dist',
         emptyOutDir: false,
         minify: 'esbuild',
         rollupOptions: {