[Extensions] Convert some ChromeSyncExtensionFunctions

chrome/browser/extensions/api/browsing_data/browsing_data_api.h

Index: chrome/browser/extensions/api/browsing_data/browsing_data_api.h
diff --git a/chrome/browser/extensions/api/browsing_data/browsing_data_api.h b/chrome/browser/extensions/api/browsing_data/browsing_data_api.h
index 4ef30c6b920fc47327f2ea1be0394f119a45e9d6..b4c7594af54214c2ab82a65de4566a45ca591d6b 100644
--- a/chrome/browser/extensions/api/browsing_data/browsing_data_api.h
+++ b/chrome/browser/extensions/api/browsing_data/browsing_data_api.h
@@ -16,6 +16,7 @@
 #include "chrome/browser/extensions/chrome_extension_function.h"
 
 class PluginPrefs;
+class PrefService;
 
 namespace extension_browsing_data_api_constants {
 
@@ -54,12 +55,12 @@ extern const char kOneAtATimeError[];
 
 }  // namespace extension_browsing_data_api_constants
 
-class BrowsingDataSettingsFunction : public ChromeSyncExtensionFunction {
+class BrowsingDataSettingsFunction : public UIThreadExtensionFunction {
  public:
   DECLARE_EXTENSION_FUNCTION("browsingData.settings", BROWSINGDATA_SETTINGS)
 
   // ExtensionFunction:
-  bool RunSync() override;
+  ResponseAction Run() override;
 
  protected:
   ~BrowsingDataSettingsFunction() override {}
@@ -73,6 +74,8 @@ class BrowsingDataSettingsFunction : public ChromeSyncExtensionFunction {
                   base::DictionaryValue* permitted_dict,
                   const char* data_type,
                   bool is_selected);
+
+  PrefService* prefs_ = nullptr;
 };
 
 // This serves as a base class from which the browsing data API removal