Reland "[commerce] Rename ShoppingListUiTabHelper to CommerceUiTabHelper"

This is a reland of commit 390d68b6d069a07b7b280bdd77fe6276558fd58b

This reland includes an update to safe-list.txt for the new name
of the tab helper.

Original change's description:
> [commerce] Rename ShoppingListUiTabHelper to CommerceUiTabHelper
>
> This patch renames the ShoppingListUiTabHelper to more appropriately
> reflect its responsibilities: managing the desktop UI for all commerce
> features.
>
> Bug: b:283833590
> Change-Id: Ibe4a5596a83bbf513ec03376fa4e6502662de97c
> Reviewed-on: https://chromium-review.googlesource.com/c/chromium/src/+/4980936
> Reviewed-by: Mei Liang <[email protected]>
> Reviewed-by: Emily Shack <[email protected]>
> Reviewed-by: David Trainor <[email protected]>
> Commit-Queue: Matthew Jones <[email protected]>
> Cr-Commit-Position: refs/heads/main@{#1226950}

Bug: b:283833590
Change-Id: Ia5740c34f50e02f3388ff5d110dace081db71257
Reviewed-on: https://chromium-review.googlesource.com/c/chromium/src/+/5046221
Reviewed-by: Mei Liang <[email protected]>
Reviewed-by: Nicolas Ouellet-Payeur <[email protected]>
Commit-Queue: Matthew Jones <[email protected]>
Reviewed-by: David Trainor <[email protected]>
Reviewed-by: Emily Shack <[email protected]>
Cr-Commit-Position: refs/heads/main@{#1227993}
diff --git a/chrome/browser/prefs/browser_prefs.cc b/chrome/browser/prefs/browser_prefs.cc
index c5678523..9030309 100644
--- a/chrome/browser/prefs/browser_prefs.cc
+++ b/chrome/browser/prefs/browser_prefs.cc
@@ -292,7 +292,7 @@
 #include "chrome/browser/search/background/ntp_custom_background_service.h"
 #include "chrome/browser/serial/serial_policy_allowed_ports.h"
 #include "chrome/browser/signin/signin_promo.h"
-#include "chrome/browser/ui/commerce/price_tracking/shopping_list_ui_tab_helper.h"
+#include "chrome/browser/ui/commerce/commerce_ui_tab_helper.h"
 #include "chrome/browser/ui/safety_hub/safety_hub_prefs.h"
 #include "chrome/browser/ui/startup/startup_browser_creator.h"
 #include "chrome/browser/ui/webui/cr_components/theme_color_picker/theme_color_picker_handler.h"
@@ -1848,7 +1848,7 @@
   captions::LiveTranslateController::RegisterProfilePrefs(registry);
   CartService::RegisterProfilePrefs(registry);
   ChromeAuthenticatorRequestDelegate::RegisterProfilePrefs(registry);
-  commerce::ShoppingListUiTabHelper::RegisterProfilePrefs(registry);
+  commerce::CommerceUiTabHelper::RegisterProfilePrefs(registry);
   companion::PromoHandler::RegisterProfilePrefs(registry);
   DeviceServiceImpl::RegisterProfilePrefs(registry);
   DevToolsWindow::RegisterProfilePrefs(registry);