[cr147][Android] Changes for local search being visible

Chromium changes:
https://chromium.googlesource.com/chromium/src/+/afb98db40a7b9cdadc42e55aa469a186e0dd92dc

commit afb98db40a7b9cdadc42e55aa469a186e0dd92dc
Author: Jinsuk Kim <jinsukkim@chromium.org>
Date:   Wed Feb 11 13:29:26 2026 -0800

    [SettingsSearch] Fix local search being visible

    Fixes a bug of making the local search visible  together with settings
    search by accident. A regression caused the search coordinator passed
    to FragmentDependencyProvider before being initialized. Replaced
    the coordinator with its supplier to address it.

    Bug: 483010813
    Change-Id: Ie9cfe9d03e56a3480b5a978290ca5222122eafd1
    Reviewed-on: https://chromium-review.googlesource.com/c/chromium/src/+/7568002
    Reviewed-by: Moe Adel <adelm@google.com>
    Commit-Queue: Jinsuk Kim <jinsukkim@chromium.org>
    Cr-Commit-Position: refs/heads/main@{#1583490}

android/java/org/chromium/chrome/browser/settings/BraveFragmentDependencyProvider.java

@@ -22,6 +22,8 @@ import org.chromium.chrome.browser.ui.messages.snackbar.SnackbarManager;
 import org.chromium.components.browser_ui.bottomsheet.BottomSheetController;
 import org.chromium.ui.modaldialog.ModalDialogManager;
 
+import java.util.function.Supplier;
+
 @NullMarked
 public class BraveFragmentDependencyProvider extends FragmentDependencyProvider {
     private final Profile mProfile;
@@ -32,14 +34,14 @@ public class BraveFragmentDependencyProvider extends FragmentDependencyProvider
             OneshotSupplier<SnackbarManager> snackbarManagerSupplier,
             OneshotSupplier<BottomSheetController> bottomSheetControllerSupplier,
             MonotonicObservableSupplier<ModalDialogManager> modalDialogManagerSupplier,
-            @Nullable SettingsSearchCoordinator searchCoordinator) {
+            Supplier<@Nullable SettingsSearchCoordinator> searchCoordinatorSupplier) {
         super(
                 context,
                 profile,
                 snackbarManagerSupplier,
                 bottomSheetControllerSupplier,
                 modalDialogManagerSupplier,
-                searchCoordinator);
+                searchCoordinatorSupplier);
         mProfile = profile;
     }