Write "logout-started" event on next boot.

chrome/browser/chromeos/chrome_browser_main_chromeos.cc

Index: chrome/browser/chromeos/chrome_browser_main_chromeos.cc
diff --git a/chrome/browser/chromeos/chrome_browser_main_chromeos.cc b/chrome/browser/chromeos/chrome_browser_main_chromeos.cc
index ea9f3ba88325a90ad97a18ce2e5b9f5006a8d799..e46c62858a437e049175baa41c8d00dabeb9637c 100644
--- a/chrome/browser/chromeos/chrome_browser_main_chromeos.cc
+++ b/chrome/browser/chromeos/chrome_browser_main_chromeos.cc
@@ -613,6 +613,8 @@ void ChromeBrowserMainPartsChromeos::PostProfileInit() {
   // -- This used to be in ChromeBrowserMainParts::PreMainMessageLoopRun()
   // -- just after CreateProfile().
 
+  BootTimesLoader::Get()->OnBoot();
+
   // Restarting Chrome inside existing user session. Possible cases:
   // 1. Chrome is restarted after crash.
   // 2. Chrome is started in browser_tests skipping the login flow