Kill the autofill password manager in case 'store()' was called.

chrome/browser/password_manager/chrome_password_manager_client.cc

Index: chrome/browser/password_manager/chrome_password_manager_client.cc
diff --git a/chrome/browser/password_manager/chrome_password_manager_client.cc b/chrome/browser/password_manager/chrome_password_manager_client.cc
index f47795c27287cc2b2672bb7392cdb0afe5a44805..fd4d1eabbaa21f90a90f816cae77a4ae95a82b41 100644
--- a/chrome/browser/password_manager/chrome_password_manager_client.cc
+++ b/chrome/browser/password_manager/chrome_password_manager_client.cc
@@ -223,10 +223,6 @@ bool ChromePasswordManagerClient::PromptUserToSaveOrUpdatePassword(
     return false;
   }
 
-  // Prevent the autofill password manager from prompting the second time.
-  if (type == password_manager::CredentialSourceType::CREDENTIAL_SOURCE_API)
-    password_manager_.DropFormManagers();
-
   if (IsTheHotNewBubbleUIEnabled()) {
 #if !BUILDFLAG(ANDROID_JAVA_UI)
     PasswordsClientUIDelegate* manage_passwords_ui_controller =
@@ -343,6 +339,12 @@ void ChromePasswordManagerClient::NotifySuccessfulLoginWithExistingPassword(
   possible_auto_sign_in_.reset();
 }
 
+void ChromePasswordManagerClient::NotifyStorePasswordCalled() {
+  // If a site stores a credential the autofill password manager shouldn't kick
+  // in.
+  password_manager_.DropFormManagers();
+}
+
 void ChromePasswordManagerClient::AutomaticPasswordSave(
     std::unique_ptr<password_manager::PasswordFormManager> saved_form) {
 #if BUILDFLAG(ANDROID_JAVA_UI)