Remove support in ProfileIOData for one click sign in which is no longer used.

chrome/browser/signin/signin_header_helper.cc

Index: chrome/browser/signin/signin_header_helper.cc
diff --git a/chrome/browser/signin/signin_header_helper.cc b/chrome/browser/signin/signin_header_helper.cc
index 674a59f533d9e817f747b8767b55f8cbe6180d09..03872021ed57cb923a3951d244d816fedcc58a4e 100644
--- a/chrome/browser/signin/signin_header_helper.cc
+++ b/chrome/browser/signin/signin_header_helper.cc
@@ -202,10 +202,13 @@ bool AppendMirrorRequestHeaderIfPossible(
     int route_id) {
   DCHECK(content::BrowserThread::CurrentlyOn(content::BrowserThread::IO));
 
-  if (io_data->IsOffTheRecord() ||
-      io_data->google_services_username()->GetValue().empty()) {
+  if (io_data->IsOffTheRecord())
+    return false;
+
+  std::string account_id(io_data->google_services_account_id()->GetValue());
+
+  if (account_id.empty())
     return false;
-  }
 
   // If signin cookies are not allowed, don't add the header.
   if (!ChromeSigninClient::SettingsAllowSigninCookies(
@@ -251,8 +254,6 @@ bool AppendMirrorRequestHeaderIfPossible(
     return false;
 #endif // !OS_ANDROID && !OS_IOS
 
-  std::string account_id(io_data->google_services_account_id()->GetValue());
-
   int profile_mode_mask = PROFILE_MODE_DEFAULT;
   if (io_data->incognito_availibility()->GetValue() ==
           IncognitoModePrefs::DISABLED ||