Fix `ListTile` theme shape in a drawer (#106343)

packages/flutter/lib/src/material/drawer.dart

@@ -683,7 +683,7 @@ class DrawerControllerState extends State<DrawerController> with SingleTickerPro
   @override
   Widget build(BuildContext context) {
     assert(debugCheckHasMaterialLocalizations(context));
-    return ListTileTheme(
+    return ListTileTheme.merge(
       style: ListTileStyle.drawer,
       child: _buildDrawer(context),
     );

packages/flutter/test/material/list_tile_theme_test.dart

@@ -444,4 +444,37 @@ void main() {
 
     expect(find.byType(Material), paints..path(color: selectedTileColor));
   });
+
+  testWidgets('ListTile uses ListTileTheme shape in a drawer', (WidgetTester tester) async {
+    // This is a regression test for https://github.com/flutter/flutter/issues/106303
+
+    final GlobalKey<ScaffoldState> scaffoldKey = GlobalKey<ScaffoldState>();
+    final ShapeBorder shapeBorder =  RoundedRectangleBorder(borderRadius: BorderRadius.circular(20.0));
+
+    await tester.pumpWidget(MaterialApp(
+      theme: ThemeData(
+        listTileTheme: ListTileThemeData(shape: shapeBorder),
+      ),
+      home: Scaffold(
+        key: scaffoldKey,
+        drawer: const Drawer(
+          child: ListTile(),
+        ),
+        body: Container(),
+      ),
+    ));
+    await tester.pumpAndSettle();
+
+    scaffoldKey.currentState!.openDrawer();
+    // Start drawer animation.
+    await tester.pump();
+
+    final ShapeBorder? inkWellBorder = tester.widget<InkWell>(
+      find.descendant(
+        of: find.byType(ListTile),
+        matching: find.byType(InkWell),
+    )).customBorder;
+    // Test shape.
+    expect(inkWellBorder, shapeBorder);
+  });
 }