Convert utility process extension ParseUpdate IPC to mojo

chrome/utility/chrome_content_utility_client.cc

Index: chrome/utility/chrome_content_utility_client.cc
diff --git a/chrome/utility/chrome_content_utility_client.cc b/chrome/utility/chrome_content_utility_client.cc
index 0b8a8d2367df40cb4ae2e5173b27f340c8e217cb..766512e850a590fcac9835a295006fc94b591880 100644
--- a/chrome/utility/chrome_content_utility_client.cc
+++ b/chrome/utility/chrome_content_utility_client.cc
@@ -247,7 +247,7 @@ ChromeContentUtilityClient::~ChromeContentUtilityClient() = default;
 
 void ChromeContentUtilityClient::UtilityThreadStarted() {
 #if BUILDFLAG(ENABLE_EXTENSIONS)
-  extensions::UtilityHandler::UtilityThreadStarted();
+  extensions::utility_handler::UtilityThreadStarted();
 #endif
 
   base::CommandLine* command_line = base::CommandLine::ForCurrentProcess();
@@ -273,7 +273,7 @@ void ChromeContentUtilityClient::ExposeInterfacesToBrowser(
 #if BUILDFLAG(ENABLE_EXTENSIONS)
   extensions::ExtensionsHandler::ExposeInterfacesToBrowser(
       registry, utility_process_running_elevated_);
-  extensions::UtilityHandler::ExposeInterfacesToBrowser(
+  extensions::utility_handler::ExposeInterfacesToBrowser(
       registry, utility_process_running_elevated_);
 #endif
   // If our process runs with elevated privileges, only add elevated Mojo