feat: auto-connect tabs created via ghostPublicAPI.openTab

Tabs created via Ghost Browser's openTab API now automatically
attach to Playwriter's debugger, making them immediately available
in context.pages() without requiring manual extension icon click.

extension/src/background.ts

@@ -360,13 +360,21 @@ class ConnectionManager {
       // This allows calling chrome.ghostPublicAPI, chrome.ghostProxies, chrome.projects
       // from the playwriter executor sandbox when running in Ghost Browser
       if (message.method === 'ghost-browser') {
-        const result = await handleGhostBrowserCommand(
-          message.params as GhostBrowserCommandParams,
-          chrome
-        )
+        const params = message.params as GhostBrowserCommandParams
+        const result = await handleGhostBrowserCommand(params, chrome)
         if (!result.success) {
           logger.error('Ghost Browser API error:', result.error)
         }
+        // Auto-connect tabs created via ghostPublicAPI.openTab so they appear in context.pages()
+        if (result.success && params.namespace === 'ghostPublicAPI' && params.method === 'openTab') {
+          const tabId = result.result as number
+          if (tabId) {
+            logger.debug('Auto-connecting Ghost Browser tab:', tabId)
+            setTabConnecting(tabId)
+            await sleep(100)
+            await attachTab(tabId)
+          }
+        }
         sendMessage({ id: message.id, result })
         return
       }