[Extensions] Convert some ChromeSyncExtensionFunctions

chrome/browser/chromeos/extensions/file_system_provider/file_system_provider_api.h

Index: chrome/browser/chromeos/extensions/file_system_provider/file_system_provider_api.h
diff --git a/chrome/browser/chromeos/extensions/file_system_provider/file_system_provider_api.h b/chrome/browser/chromeos/extensions/file_system_provider/file_system_provider_api.h
index a0084ccf065b42d71ea520d3c287901989cd99ac..0ec3e0352ac31037ce48c3f91e20b2c8c872d43a 100644
--- a/chrome/browser/chromeos/extensions/file_system_provider/file_system_provider_api.h
+++ b/chrome/browser/chromeos/extensions/file_system_provider/file_system_provider_api.h
@@ -10,43 +10,43 @@
 
 namespace extensions {
 
-class FileSystemProviderMountFunction : public ChromeSyncExtensionFunction {
+class FileSystemProviderMountFunction : public UIThreadExtensionFunction {
  public:
   DECLARE_EXTENSION_FUNCTION("fileSystemProvider.mount",
                              FILESYSTEMPROVIDER_MOUNT)
 
  protected:
   ~FileSystemProviderMountFunction() override {}
-  bool RunSync() override;
+  ResponseAction Run() override;
 };
 
-class FileSystemProviderUnmountFunction : public ChromeSyncExtensionFunction {
+class FileSystemProviderUnmountFunction : public UIThreadExtensionFunction {
  public:
   DECLARE_EXTENSION_FUNCTION("fileSystemProvider.unmount",
                              FILESYSTEMPROVIDER_UNMOUNT)
 
  protected:
   ~FileSystemProviderUnmountFunction() override {}
-  bool RunSync() override;
+  ResponseAction Run() override;
 };
 
-class FileSystemProviderGetAllFunction : public ChromeSyncExtensionFunction {
+class FileSystemProviderGetAllFunction : public UIThreadExtensionFunction {
  public:
   DECLARE_EXTENSION_FUNCTION("fileSystemProvider.getAll",
                              FILESYSTEMPROVIDER_GETALL)
 
  protected:
   ~FileSystemProviderGetAllFunction() override {}
-  bool RunSync() override;
+  ResponseAction Run() override;
 };
 
-class FileSystemProviderGetFunction : public ChromeSyncExtensionFunction {
+class FileSystemProviderGetFunction : public UIThreadExtensionFunction {
  public:
   DECLARE_EXTENSION_FUNCTION("fileSystemProvider.get", FILESYSTEMPROVIDER_GET)
 
  protected:
   ~FileSystemProviderGetFunction() override {}
-  bool RunSync() override;
+  ResponseAction Run() override;
 };
 
 class FileSystemProviderNotifyFunction : public ChromeAsyncExtensionFunction {