[Extensions] Migrate ExtensionInstallPrompt::Delegate to be a callback

extensions/browser/api/management/management_api.h

Index: extensions/browser/api/management/management_api.h
diff --git a/extensions/browser/api/management/management_api.h b/extensions/browser/api/management/management_api.h
index f37e9c919aefd7b95eef356aa725989bcfd60281..fc9b563bd1afa1e3a7c7194cb248907b0280270d 100644
--- a/extensions/browser/api/management/management_api.h
+++ b/extensions/browser/api/management/management_api.h
@@ -114,9 +114,6 @@ class ManagementSetEnabledFunction : public UIThreadExtensionFunction {
 
   ManagementSetEnabledFunction();
 
-  void InstallUIProceed();
-  void InstallUIAbort(bool user_initiated);
-
  protected:
   ~ManagementSetEnabledFunction() override;
 
@@ -124,6 +121,8 @@ class ManagementSetEnabledFunction : public UIThreadExtensionFunction {
   ResponseAction Run() override;
 
  private:
+  void OnInstallPromptDone(bool did_accept);
+
   void OnRequirementsChecked(const std::vector<std::string>& requirements);
 
   std::string extension_id_;