[cr137] [Android] Tab context menu for Tab Group Dialogs

Chromium change:
https://chromium.googlesource.com/chromium/src/+/4de24f972d7e2e062daebcc58856ef7e71091040

[Tab Group Parity] Tab context menu for Tab Group Dialogs

- Now show tab context menu for tab group dialogs
- New interface for showing TabListEditor
- Rename context menu class to TabGridContextMenuCoordinator to resolve naming conflict with `chrome/android/features/tab_ui/java/src/org/chromium/chrome/browser/tasks/tab_management/TabListGroupMenuCoordinator.java`
- Recording: https://drive.google.com/file/d/1bXXKs34DMLy5FSXOqnYTaWdaddFjuOcc/view?usp=sharing&resourcekey=0-MNtztibYKcwRsHKRdPDcrA

Bug: 412626589

android/java/org/chromium/chrome/browser/toolbar/BraveToolbarManager.java

@@ -30,6 +30,7 @@ import org.chromium.chrome.browser.app.BraveActivity;
 import org.chromium.chrome.browser.app.ChromeActivity;
 import org.chromium.chrome.browser.back_press.BackPressManager;
 import org.chromium.chrome.browser.bookmarks.BookmarkModel;
+import org.chromium.chrome.browser.bookmarks.TabBookmarker;
 import org.chromium.chrome.browser.browser_controls.BottomControlsStacker;
 import org.chromium.chrome.browser.browser_controls.BrowserControlsSizer;
 import org.chromium.chrome.browser.browser_controls.BrowserStateBrowserControlsVisibilityDelegate;
@@ -148,6 +149,8 @@ public class BraveToolbarManager extends ToolbarManager
     private ObservableSupplier<TabModelSelector> mTabModelSelectorSupplier;
     private LayoutStateProvider.LayoutStateObserver mLayoutStateObserver;
     private Runnable mOpenGridTabSwitcherHandler;
+    private final ObservableSupplier<TabBookmarker> mTabBookmarkerSupplier;
+    private final Supplier<ShareDelegate> mShareDelegateSupplier;
 
     public BraveToolbarManager(
             AppCompatActivity activity,
@@ -194,7 +197,8 @@ public class BraveToolbarManager extends ToolbarManager
             @Nullable ObservableSupplier<Integer> overviewColorSupplier,
             ObservableSupplier<ReadAloudController> readAloudControllerSupplier,
             @Nullable DesktopWindowStateManager desktopWindowStateManager,
-            @Nullable MultiInstanceManager multiInstanceManager) {
+            @Nullable MultiInstanceManager multiInstanceManager,
+            @NonNull ObservableSupplier<TabBookmarker> tabBookmarkerSupplier) {
         super(
                 activity,
                 bottomControlsStacker,
@@ -238,7 +242,8 @@ public class BraveToolbarManager extends ToolbarManager
                 overviewColorSupplier,
                 readAloudControllerSupplier,
                 desktopWindowStateManager,
-                multiInstanceManager);
+                multiInstanceManager,
+                tabBookmarkerSupplier);
 
         mOmniboxFocusStateSupplier = omniboxFocusStateSupplier;
         mLayoutStateProviderSupplier = layoutStateProviderSupplier;
@@ -250,6 +255,8 @@ public class BraveToolbarManager extends ToolbarManager
         mBrowserControlsSizer = controlsSizer;
         mDataSharingTabManager = dataSharingTabManager;
         mTabModelSelectorSupplier = tabModelSelectorSupplier;
+        mTabBookmarkerSupplier = tabBookmarkerSupplier;
+        mShareDelegateSupplier = shareDelegateSupplier;
 
         if (isToolbarPhone()) {
             updateBraveBottomControlsVisibility();
@@ -310,7 +317,9 @@ public class BraveToolbarManager extends ToolbarManager
                             mLayoutStateProviderSupplier,
                             mModalDialogManagerSupplier.get(),
                             bottomUiThemeColorProvider,
-                            mUndoBarThrottle);
+                            mUndoBarThrottle,
+                            mTabBookmarkerSupplier,
+                            mShareDelegateSupplier);
             var bottomControlsContentDelegateSupplier =
                     (OneshotSupplier<BottomControlsContentDelegate>)
                             ((OneshotSupplier<? extends BottomControlsContentDelegate>)