Add support for a "split" incognito behavior for extensions.

chrome/browser/extensions/extension_devtools_bridge.cc

Index: chrome/browser/extensions/extension_devtools_bridge.cc
diff --git a/chrome/browser/extensions/extension_devtools_bridge.cc b/chrome/browser/extensions/extension_devtools_bridge.cc
index 71d795ba5c6f2cb8ea6b3a40b2174beed7276c11..01a0aef329bbda71b8902994687399af0782a79f 100644
--- a/chrome/browser/extensions/extension_devtools_bridge.cc
+++ b/chrome/browser/extensions/extension_devtools_bridge.cc
@@ -65,7 +65,7 @@ void ExtensionDevToolsBridge::InspectedTabClosing() {
   // event in extensions.
   std::string json("[{}]");
   profile_->GetExtensionMessageService()->DispatchEventToRenderers(
-      on_tab_close_event_name_, json, profile_->IsOffTheRecord(), GURL());
+      on_tab_close_event_name_, json, profile_, GURL());
 
   // This may result in this object being destroyed.
   extension_devtools_manager_->BridgeClosingForTab(tab_id_);
@@ -83,6 +83,6 @@ void ExtensionDevToolsBridge::OnDispatchToAPU(const std::string& data) {
 
   std::string json = StringPrintf("[%s]", data.c_str());
   profile_->GetExtensionMessageService()->DispatchEventToRenderers(
-      on_page_event_name_, json, profile_->IsOffTheRecord(), GURL());
+      on_page_event_name_, json, profile_, GURL());
 }