[cr146][Android] Clean up OmniboxMobileParityUpdateV2 on Android (Part 1)

NewTabPage.updateSearchProvider is now void at upstream

Chromium change:
https://source.chromium.org/chromium/chromium/src/+/d23864706c014549e1f1333face1ece0046c52bd

	[ParityV2] Clean up OmniboxMobileParityUpdateV2 on Android (Part 1).

	Clean up feature flag OMNIBOX_MOBILE_PARITY_UPDATE_V2 and feature
	param "retrieve_builtin_favicon" on Android.

	Bug: 426594110
	Change-Id: I705823eb0dbd34b0e1187dfde3b20f12c4b78fa7
	Reviewed-on: https://chromium-review.googlesource.com/c/chromium/src/+/7523327

android/java/org/chromium/chrome/browser/ntp/BraveNewTabPage.java

@@ -193,9 +193,8 @@ public class BraveNewTabPage extends NewTabPage {
         mFeedSurfaceProvider = feedSurfaceCoordinator;
     }
 
-    public boolean updateSearchProvider() {
+    public void updateSearchProvider() {
         // Search provider logo is not used in Brave's NTP.
         mSearchProviderHasLogo = false;
-        return false;
     }
 }